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Video tags
Subtitles
Russian
00:18:55
well everyone is there boy good00:18:57
afternoon everyone is not here00:19:01
let's start with the class let's see it's00:19:07
week 100:19:10
and00:19:11
one day we are going to work with polynomials00:19:16
polynomials notable products and a little00:19:20
division a little division00:19:27
good afternoon how are you good good00:19:31
Now we're going to do it, this is it, but00:19:34
this major,00:19:35
this one, we're not going to work,00:19:43
that's the topic, we're going to work, the guys,00:19:50
and you already have the material, no, so let's00:19:53
go to you. You can also tell me00:19:55
the questions, whether I solve them00:19:58
or I can also answer them. solving I didn't00:20:03
know solving also now00:20:23
well like in the 4 we're going to00:20:27
start and see how you00:20:30
maintained material tell me what question00:20:32
you want me to solve00:20:34
now we're going to start guys how it was00:20:38
as soon as possible have them let's see let's see00:20:40
we have 2000:20:44
27 questions and 27 of All the questions00:20:48
are of a regular level, some easy and00:20:51
regular, difficult, none and no00:20:53
building, all of them are so regular, plus00:20:57
you have seen the last exam, the00:20:59
mission of the uni, the questions have00:21:01
been very easy and there are too many of you to00:21:03
teach, that is what they have done. so00:21:06
because since the exam has been this00:21:10
virtual virtual so then that's why they00:21:13
have done it type that's why I have00:21:14
n't done00:21:16
in-person assignment but it seems that now it's going to00:21:19
be in-person in the exam it seems that it's00:21:22
going to be in-person so the level00:21:25
is a little bit higher Yes, well, by the time,00:21:27
boy, by the time, we already called00:21:30
businesswoman, I'm going to start with00:21:32
question 10 and in general, everyone is going to00:21:35
look at question 10 and each00:21:37
of you today to participate, you know how, guys,00:21:40
telling me teacher the question, tell me00:21:43
the number. rest and I'm solving it, that is,00:21:46
at my discretion I'm putting the00:21:48
questions and you're also00:21:51
telling me in such a way that we both00:21:53
participate, not only me but00:21:55
you too.00:22:00
I repeat, we're going to wake up00:22:24
the boy again, so we're going to start with the00:22:26
question. 10 Now we're going to start everything00:22:29
we're going to do when you give the00:22:31
admission exam you don't ask00:22:34
the questions for any00:22:36
question one starts one you have to see00:22:38
what's easiest in this case we're going to see00:22:40
what's most interesting we're going to00:22:43
start with there the boy and00:22:46
the more he solves the better in 1000:22:49
because they chose 10 he says the polynomial00:22:53
we are going to make identical boys00:22:56
and which is very copying00:23:00
we are going to copy the polynomial let's see let's00:23:03
see we copied the polynomial and the00:23:08
question is 0 out00:23:11
of 22 to the fifth one too and then I00:23:15
copy and it says like00:23:18
11 x of the 2 to the forms00:23:23
if her carmen is off00:23:27
ah I don't know why it looks like in the00:23:30
air the air again00:23:37
and now if you see 12 alone it's going00:23:39
off I don't know what happens00:23:43
it seems that then the air suddenly did00:23:47
not make a mistake that this happens in the morning00:23:50
too00:23:51
boy thanks to this experience00:23:54
now we are going to copy its00:23:58
2200:24:00
x minus 2 cubed as there are few00:24:04
terms I continue copying more to its00:24:07
closure about 1 then he comes to his 3 for x00:24:12
minus 2 to which there are 54300:24:16
gentlemen and also more to his 4 plus00:24:34
400:24:37
I'm already running to his 41 and he just00:24:41
turns off I don't know what's wrong let's take00:24:43
a break I do00:24:44
n't know what's wrong it00:24:47
must be something on the network but00:24:49
suddenly not if it was because alone it is00:24:52
so serious the only thing I do not touch and00:24:55
alone is that00:24:57
they closed and00:25:02
suddenly not alone it is that it goes down00:25:05
look00:25:07
and now it does and then we are going to a lot of00:25:11
struggle and00:25:15
hours00:25:21
and there it is better month now I hope they are not00:25:25
and he also requested this one that is cut off how00:25:27
strange00:25:29
now then I continue copying it has already been00:25:32
copied because there are00:25:34
four00:25:36
boys let's see xv in the 2 to 100:25:47
nothing more00:25:53
x fifth more x and more and so far00:25:59
my theory Let's remember if the00:26:01
polynomials are identical, what is fulfilled and00:26:04
enforced00:26:06
is, for example, this makes it remember more00:26:09
if you have to already remember my problem,00:26:12
for example, this polynomial that I was00:26:14
out, I was already here, is identical, for00:26:18
example, to 3x squares plus 7 same 800:26:22
times For example,00:26:24
they are identical, there is a theorem that says00:26:26
that you can equate the coefficients00:26:29
of the like terms, that is,00:26:32
equal to 3 and equal to 7 and be equal to 8,00:26:35
but I cannot apply that theory00:26:38
to the question because because that00:26:41
polynomial that They have given me it is not00:26:43
developed, but here it is already00:26:45
developed, look here it is developed00:26:48
but there it is not developed, I would have00:26:50
to develop the one that had to develop at least to the fifth00:26:54
and it would be very00:26:55
complicated, so let's apply the00:26:57
definition, the definition says that without a00:27:01
doubt values titles values any00:27:04
value of00:27:25
that you give one that comes out to each00:27:28
of the 2 -1 to the subtraction minus one less00:27:31
to be already x1 does equal 1 - 2 - 1 in the00:27:37
fourth 1 blue00:27:41
because today I explain one to you if you had 100:27:45
x at least 2 minus a his box if you give him00:27:49
1 here it comes out to his 300:27:53
3 if you give him 1 and he gets less to his 400:27:57
and then he comes more to his children and that is what00:28:01
he says is equal to 100 and it is equal to00:28:04
11 plus one plus one It would be 300:28:09
and even guys and now I'm going to answer00:28:12
what you guys are seeing me, you guys00:28:14
are seeing me at your zero00:28:16
minus one plus your two minus your three00:28:21
masses 4 - at your 5 what to do guys00:28:25
of course as the young man says He00:28:28
multiplied all of them by theirs, he no longer ordered by00:28:32
seeing them and also by seeing them, then it00:28:34
would be like this to everything for me he followed it to00:28:37
happens to all at least blue to00:28:41
all by less acids00:28:44
for all by less -300:28:47
to all by less to his 400:28:51
to all at least it would be minus their 500:28:54
already and since they are multiplying it by00:28:57
minus this 13 becomes minus 3 and it is00:29:00
in the answer and even what you who00:29:03
come you wanted as far as seeing their 0 -00:29:07
it makes one more to their two minus three more to00:29:11
its 4 minus make 5 answer minus three00:29:14
mirage and what is asked00:29:16
11 this artifice rules give it the value00:29:24
with00:29:26
such00:29:29
what did you think guys now but00:29:31
let's solve the 11 because the eleven is00:29:34
a consequence of the previous question now00:29:36
In 11 it got a little00:29:39
more complicated because it says about the previous problem and00:29:43
then young people reviewing them and reviewing them00:29:45
so that it is clear, okay, you00:29:48
can give them any value, you can give them00:29:53
2,456 any number but I gave them one00:29:56
as one comes out straight, not everything which00:29:59
asks you now what we are going to do in00:30:03
question 11 says about the previous problem that is, it00:30:06
refers to 1000:30:09
in question 11 it refers to problem00:30:12
1000:30:13
of the previous program bis we want to00:30:17
calculate the value of its 5 now we want00:30:21
that calculates the value of us00:30:25
555 and then guys to calculate00:30:28
your five hours what do we do here we00:30:31
are going to give you two now we are going to give you two00:30:36
xx there I am going to give you two let's see let's00:30:40
replace and some let's see what comes out what00:30:43
you Do you want, let's00:30:45
give00:31:02
who already when it is00:31:05
equivalent to 2 when00:31:27
okay 35 3500:31:30
possibilities there is the c and the e00:31:34
the ce and the why it says 35 and 12500:31:39
now let's see if it is 175 or 125 I00:31:43
already got the 5 now it comes a little00:31:47
more difficult now it comes to sub 13 and its00:31:50
5 How do we do the soler00:31:53
what value could I give it now there00:31:57
are so many small ones so to get that00:32:00
they are telling me to give it the value of00:32:03
33 I have to give it now 33 I have to00:32:06
give let's delete it and give it the value of 300:32:12
let's try to complete it with 300:32:16
and values are asked but you know what00:32:19
value and00:32:20
what value the problem is00:32:25
very much00:32:28
and here comes the difficult part of adding that all00:32:31
artifice the question00:32:36
there is a lot to think about it's just00:32:40
the skill we're just going to give it now00:32:42
we choose the value of 300:32:46
the value of three guys all00:32:49
give it the value of 3 and see what happens what00:32:52
happens let's see if I give it 300:32:55
and I think it seems to me now we are going to give it00:32:58
three guys00:33:01
3333 so now you are going to give it 300:33:08
33 knowing it would be instead of x 33 21 would be00:33:15
his 0 would be to succeed his 0 and you give him00:33:20
three it would be to sub00:33:23
17 units 3 would be to his voice00:33:27
2 if you give him 3 it would be to his00:33:31
3300:33:33
at 23 34 to his 4 and up to 5 already when00:33:42
he we said that he I had to give 300:33:46
so it would be three in the fifth, extreme00:33:49
absurdity it wouldn't be three in the00:33:52
fifth and since it is 33 plus 14 it00:33:58
would also be00:34:00
403 plus 14 and I even got there but you00:34:04
want something else you what things do you want00:34:06
1 305 ago now then now you go to00:34:11
copy crash this you are going to copy this00:34:14
placed less us a 000:34:17
90/100:34:20
in addition to the acids -2 that more makes 3300:34:27
that faster to his 4 and more to his 5 worth00:34:34
3 to his five mothers already today is what he has00:34:39
with these two pieces of information so that you get00:34:41
what you want because you want00:34:44
sub 13 and those 5 that could be00:34:49
in your presentation the line that is the00:34:53
trick to add it up effectively if you00:34:56
add it up you get out guys you already get it00:35:04
if you add it up you Then the trick comes out00:35:08
here a young man is telling me00:35:10
Griezmann is already on top00:35:14
and this time this question stability of00:35:17
the is not complicated anymore so with00:35:21
that gate he goes out twice twice to00:35:25
his world he canceled twice to his00:35:29
3300:35:32
twice to his children,00:35:35
I am extracting 22, it is extracting00:35:38
25 and now we have to add these three to00:35:43
the fifth when it would be 3 alak and 32 4300:35:47
243 add 200:35:50
797 in this case it would be 25000:35:55
and 250 between 2 when it comes out being00:35:59
different here it would be plus one more to his00:36:03
three plus his five is equal to00:36:07
125 250 divided by 2 12500:36:12
so I love the alternatives and there is00:36:16
the c the six boys are actually born00:36:21
look at that question already then the00:36:25
ability has been first give him some00:36:27
first look for the one something by giving him one00:36:31
you replace and think about everything you00:36:35
wanted and the00:36:58
What is here you have to add it up to00:37:01
get in this case in sub 1 in the 300:37:04
of the 5 and let's see what the kids say00:37:08
in the 4th key and let's group together to see00:37:11
the massacre at00:37:14
44 and00:37:17
let's ask question 4 and give00:37:20
an answer let's00:37:27
see guys 4 to 400:37:31
what can we do in the question which one00:37:43
[Music]00:37:45
already question 400:37:48
in question 400:37:54
the value value is the a4 say the00:37:59
polynomial and find the sum of00:38:02
coefficients for the largest value it00:38:04
can take going we00:38:08
already put00:38:10
the polynomial00:38:12
in this case how many of them have 1200:38:16
34 pm 2100:38:43
ask this question00:38:46
minimum00:38:47
to start mobile this has how it is00:38:51
polynomial you know that the definition of00:38:53
polynomial indicates that the exponent of the00:38:55
variable has to be natural00:38:57
including 0 including 0 so00:39:00
we say 5 n00:39:03
has to be greater than or equal to zero00:39:07
in m3 greater than or equal to zero00:39:12
in greater than or equal to zero click on the00:39:16
acalde greater equal to zero now what00:39:19
I am going to do is intercept we00:39:22
are going to intercept them to obtain the00:39:25
greatest value here young people that passes to the00:39:28
right would be 5 greater equal to them00:39:33
and this is and here it says n greater equals00:39:37
Andrés00:39:39
and here it says m is greater than or equal to zero00:39:42
between these two the one who wins is three00:39:45
deliver to zero of this we have the most00:39:48
conclusion the in is greater than or equal to three00:39:52
but you are less than or equal to five,00:39:57
they are already asking me00:39:59
for the largest value for the highest value that can be00:40:02
taken and so here we are going to00:40:04
take 5 because it says that it should be the00:40:06
highest possible,00:40:09
it has 5 and to the one who lends it, seeing00:40:12
the conscious zone, finding what00:40:15
is asked is your hand or if you feel this they00:40:18
would be n minus 1 formed by00:40:22
13 11 won self-sufficient 11 and added00:40:28
with who plus00:40:30
77 and added with in the square no because it00:40:33
says the sum of the different most00:40:35
appropriate already here it is canceled here on00:40:39
Friday it comes out five times the five00:40:42
here and since the n five back would be00:40:46
25 and 25 and 12 when it would be00:40:50
37 let's go to that 37 let's see00:40:54
aitana stopped being procedural time00:41:06
when00:41:09
you put in 5 - n has to be greater than00:41:13
or equal to 0 and if That era is going to be00:41:15
eliminated, no matter the x in the00:41:35
function of some00:41:37
variables, nothing is clearer, of course,00:41:41
since it also has 5, of course, here00:41:43
the box is eliminated but if I add 5th00:41:47
race 2a, this quantity remains 2 and until00:41:51
5 is left there is no problem00:41:54
and if it were a function of a variable00:41:57
only x00:41:59
yesterday only of also also there is no00:42:02
restriction it can be zero to00:42:06
zero is that what happens look I will give you00:42:09
an example look at everything place a 1 plus 1200:42:13
x00:42:14
plus x squares where is the00:42:18
x1 by elisa laser there is such a bears00:42:22
is the exponent It can be 0, he is also an00:42:25
independent representative00:42:28
and you can do00:42:30
thank you, good, very good, then00:42:34
that question is already resolved, it is already00:42:37
clarified,00:42:45
see other questions, I am going to take an00:42:51
interesting photo 1, 2 and 3,00:42:55
it seemed complicated, in reality, boy, it00:42:58
is not everything, it is a matter of the trick00:43:00
rules and precisely those that the boys00:43:02
who go to uni always have to00:43:05
demonstrate their ability their ability above00:43:08
all the ability as a reserve for the00:43:10
senator please I will be the 2nd00:43:15
and let's ask the boys to the barça there are00:43:18
some questions that yes you don't have00:43:23
yes00:43:31
theater better00:43:33
yes but I was also solving00:43:35
because they have given it to me before and I00:43:37
are not solving and there are some00:43:40
questions that no others have00:43:43
and now I am going to tell you you00:43:48
are solving and there is another say00:43:52
that question does not have this For example,00:43:55
so that they are not doing or00:43:58
wasting their time on the question, let's00:44:01
see what question was being solved00:44:04
beyond question 25, it seems to me that there is00:44:08
no need to fix it and now we put you at00:44:10
25, there is no answer after I have00:44:14
seen What another question, having been00:44:18
looking around, it seems that the 25 rules are00:44:21
going to solve it, don't ask yourself,00:44:27
could it be the girlfriend, the normal 25, who is00:44:31
the one who hasn't found the answer, we're going to00:44:34
do the 2, now, two states, I00:44:37
'm going Let's delete guys to do00:44:39
both of them,00:44:41
you're telling me, you're telling me,00:44:44
and the one who came out to see him00:44:47
asks what actions at 1, be careful,00:44:50
and what did you mark the des? The00:44:58
lady approaches one of you, the teacher also came out to see you,00:45:03
yes, sure.00:45:07
If the bird also comes out to me and then if I00:45:11
tell you the answer and the e00:45:16
and if I have the answer to the law why would you00:45:19
tell me I'm going to shoot the mouse00:45:23
not but we are going to return to you with for00:45:28
example do and finally enter young people00:45:30
the polynomial there is some restriction for00:45:33
the variable00:45:39
and if you rescind for its exponent of the00:45:42
variable the now you can infraction00:45:44
of course but for the variable00:45:51
for the variable there is no restriction I00:45:52
close00:45:57
the value00:46:01
whether it is real00:46:05
and whoever is real get to the complete we already00:46:08
warned we are going to tell women00:46:11
that's why you get none,00:46:14
that's why you have to see it.00:46:24
You know that a polynomial of00:46:46
If I give you that expression00:46:49
px the same as the square minus 1 over x00:46:54
minus turn this that is here you are not going to00:46:57
express its equivalent like this who is this00:47:09
here you can't do it well as it is you won't be00:47:11
able to choose or be different from00:47:13
a hardware value if that is one here you00:47:18
will get 0 and here you go to and zeros00:47:21
and fat tutors of course the polynomial is00:47:25
one of the characteristics Ideally,00:47:27
instead of the variable, you00:47:29
can give it any value, whether00:47:31
positive or negative,00:47:34
any type of number, you can00:47:36
give it the polynomial and in this case,00:47:39
this case, the way it is is not because of my00:47:42
boyfriend, but just as it is there. yes there are already00:47:46
six polygons00:47:48
like this like this00:47:50
and the characteristic of the polynomial is that00:47:53
you can give the variable any00:47:55
value any value into account the00:47:58
characteristic of the polynomial is that its00:48:00
numerical value exists for any00:48:02
case for any case so with00:48:04
that idea and now More or less we are going to00:48:07
analyze but first I am going to do the 2nd and00:48:11
we are going to see sides to see the 2nd and its a00:48:14
little more interesting00:48:20
and the 2nd and00:48:23
in question 2 and00:48:27
in question 2 we are going to analyze it in00:48:30
this way well I It says pq there are two00:48:33
because if it is a variable, it already says00:48:35
that the absolute degree of that is greater00:48:38
than the absolute degree of q and we are going to00:48:40
assume that the pp and pse so it is an x00:48:44
to the n iv we are going to assume that the q of x00:48:49
Let x to n also because it says that00:48:53
Facebook are polynomials that are00:48:55
variables00:49:13
is older than the eldest who00:49:15
now I'm going to add penalties to see what happens00:49:19
if I add cream00:49:23
x to n plus00:49:36
degree of this sum,00:49:38
10 or 500:49:41
is 1000:49:42
m,00:49:44
then the degree of degree of the topic00:49:51
of punishment in this case 10 is the00:49:55
best data is equal to 10, that is to say that I am00:49:59
dealing with laws,00:50:00
the degree of the topic is the greatest and it is the00:50:03
greatest00:50:04
then it is equal to 10 but it tells me00:50:08
but they say the degree of penalties00:50:10
10m are worth jazz00:50:14
now we are going to see the degree of who of00:50:16
this cubic root cubic root of who00:50:21
says of x among cudeca we call erbol is00:50:26
this big00:50:28
first what do I do cubic root00:50:33
in this x in the x00:50:38
10 x00:51:05
X rest the00:51:09
exponents and the living also ready00:51:12
and until there very well and now00:51:15
that it says00:51:17
the degree of this is to that fraction of00:51:21
this fraction is 2 means then00:51:24
estimated grade grade grade of who you00:51:30
have of all this says that it is worth two00:51:33
degrees of who since about q says that00:51:38
it is 200:51:40
if the degree who we are in00:51:45
that degree of consciousness that is, this00:51:48
quotient with this root this degree that is00:51:50
the exponent says that it is worth 2200:51:54
so we are placed here because m00:51:58
has about 32 is what00:52:01
we say00:52:04
- cn about that and the same thing is to say00:52:09
two overboard00:52:12
looking at each other we say elements of00:52:14
inequality well at 66 but in the fourth it is00:52:18
worth 10 there is 10 310 so the n how much is it00:52:24
worth is worth00:52:25
44 so far very good I already have interest00:52:29
in x now that They say you want to calculate the00:52:34
degree of pere squared00:52:41
let's calculate the degree of an00:52:43
expression let's place what you are00:52:45
seeing00:52:47
absolutes they ask that squared00:52:51
by q of x and squared by bush and00:52:56
when we stop00:52:58
these guys and this is x x to the m but m00:53:05
is worth 1000:53:10
but ayala 200:53:14
and now it is coming that it is convenient to talk now it is00:53:17
coming it wants it00:53:19
x00:53:21
it would be00:53:30
10 times 22000:53:37
plus 4 24 and squared lower00:53:41
this I get maybe00:53:43
48 and just as they are right the degree the00:53:48
degree is the exponent00:53:52
the exponent would be00:53:55
48 there is the answer to the BBC00:53:59
now let's review guys for the00:54:01
premiere get lost in In this type of00:54:03
exercises you assume that as it is a00:54:07
variable, the matrices are all00:54:09
polynomials, it is also a variable00:54:16
and it says that lm greater than it is the degree00:54:20
of p is greater than the degree of udis in the00:54:24
Majorcan, as the first one says, he says that he00:54:26
raises it to the most but since he himself00:54:29
has it then it is grau l but for data00:54:33
grade quines 10 2 m is worth 10 2 m 10 now00:54:37
they want the grade of this one let then00:54:39
what does this do so that you do not complicate00:54:41
the pd kilos of plastics x to the m in q00:54:46
of grays x to the level iv that a takes out00:54:48
place00:55:08
It's 10 and the and you get 400:55:13
grade of this whole camera has been paid00:55:16
again I do00:55:19
n't know what's happening00:55:21
every now and then it turns off if no one does anything00:55:25
wing to00:55:27
areas under or internet teacher how00:55:34
can I not this00:55:37
well00:55:41
and then well it00:55:46
can't be because the host00:55:50
stopped him they say wow what happened00:55:53
they helped he00:55:56
can't start his video because the00:55:58
host stopped them00:56:04
and now00:56:12
it's fine guys if they00:56:15
are not expressing themselves in me he touches it and00:56:19
just leaves they00:56:20
closed very strange they must be a00:56:23
teacher00:56:25
maybe there is a machine virus00:56:28
a suddenly there is no00:56:30
need to put it in the title it00:56:34
is not because there are people repairing some00:56:37
pole there are them near our00:56:40
children's house it is impossible that there is an antivirus that is00:56:45
not active no00:56:47
yes because if it launches on its own00:56:50
the machine must serve them Yes it was00:56:53
because but if I have put antiviral in a00:56:55
place that the tax00:56:57
would still submit00:56:59
yes well the problem well this seems very00:57:02
strange to me guys already then00:57:05
the question is good and now what question00:57:07
who thinks he is the doctor let's see what00:57:10
one of them told me what I was going to do00:57:13
ayala one let's see what you guys think about the one00:57:15
guys let's see the following00:57:16
expressions are polynomials and the00:57:19
polynomial is true for any value00:57:22
of x it is true for any value of x we're00:57:26
going to do it we're going to try more 300:57:29
but I already gave you the idea today I already gave you the00:57:32
idea k00:57:35
when you have an expression here that00:57:37
is what is here in this fraction that00:57:39
is taking the polynomial but its00:57:41
equivalent if it is its equivalent if it is00:57:44
what is its equivalent of that reverse00:57:46
the tsja polynomial if they give you the polynomial like that00:57:49
but if they give it to you like that no00:57:51
because because the x cannot take one and00:57:54
you know that the polynomial does not happen that00:57:57
in the polynomial the x can take00:57:59
any value the value is the problem00:58:04
is what What's happening with that00:58:06
observation, let's ask question 100:58:09
also x can take any value00:58:12
in00:58:36
They have some this00:58:40
way we check it that says it is the same00:58:43
here in having I write the icub here there is no00:58:47
problem out the equipment of taking00:58:49
any number now is here comes the00:58:53
problem that from there I can write it00:58:54
as a root it00:58:59
would be cubic root of 10 of x alguazas00:59:05
and also00:59:06
minus x team absolute graphs and not00:59:13
about the team taking the value you00:59:15
said anything about the team taking any00:59:18
number and do can take00:59:27
fraction is the00:59:30
problem00:59:32
or the x is the variable it only00:59:35
has to be raised to a00:59:36
natural exponent or look there are two cases for00:59:40
an expression to be a polynomial the00:59:47
here it can take00:59:48
any number it can form positive or00:59:51
negative whatever the equipment to take00:59:54
any value but the problem here00:59:56
is to extend two thirds01:00:05
x and can take01:00:08
any positive or negative value whatever01:00:09
you want01:00:10
the second01:00:15
hahaha square root of x raised wants01:00:20
to the fourth to the fourth plus 1201:00:33
value and the01:00:36
other is that the exponent has to be01:00:38
natural and the children love01:00:41
the team to take any value what does01:00:49
any value think01:00:55
if the player has to third greater01:00:58
0 greater equal to 001:01:02
clear what happens in a polynomial about01:01:05
what happens in a polynomial it is the x the x01:01:08
here is accompanied is the problem the01:01:23
half to the fourth01:01:26
vitality of 40 languages our01:01:30
exponent level is the exponent of The01:01:44
idea is that here it should01:01:47
be comparable, but if I made a team01:01:50
they would do it there it would be different but it is like this01:01:52
this way well it is like this so01:01:54
I am here it is assumed that it is not a01:01:57
polynomial because the01:02:01
but it has to01:02:03
be natural teacher but if I don't01:02:05
but there that is another process and another01:02:08
process and you lose it and something else comes up01:02:10
and that idea01:02:13
now I have a question young people and01:02:16
without the admission exam question01:02:18
our true false let's01:02:21
see01:02:23
Let's see what you guys say, this is01:02:26
the same01:02:30
and what do you think, let's see01:02:33
different clark from different but on the01:02:37
other hand because I live it and the 4 enters not what01:02:40
happens look in the real ones in the01:02:42
real ones the x aha just as it is it has to01:02:46
take positive or You don't have to take01:02:49
positive instead trailers can be01:02:52
any value when here if it belongs01:02:55
to the real ones live the difference well here01:02:57
the team to take positive negative whatever01:03:00
you want in01:03:02
positive these two quantities how they are01:03:05
different01:03:09
x in the middle that's here I am here in the01:03:13
exponent of the fractional then when01:03:15
the official exponent it is assumed that the01:03:18
expression01:03:24
we and I do not but that is another01:03:26
process it is another process01:03:30
since the same as the same device01:03:33
and here it says sec and the real ones are not the01:03:36
same this It is a set only the01:03:38
positive in changing at any time01:03:41
they are01:03:44
definitely different boy01:03:45
that is for you to realize01:03:50
we are going with the with the other proposition01:03:57
crying it is not good either that there is in01:04:00
fact with this with this information you already01:04:03
realized already That's01:04:23
you hit and it came out01:04:27
and so the goods and you go out is something else it01:04:30
's something else01:04:32
so the answer what would be01:04:37
what would be the answer I think that none01:04:40
without01:04:42
any that day I no longer know what I more or01:04:45
less intuited was true it was already true and01:04:48
other questions guys it seems to me the01:04:51
six did the six01:04:57
66 also has a trick01:05:01
space I'm going to do it01:05:04
the boy the 6 of course the01:05:07
recent thought reading now let's go with the 601:05:12
6 also has a trick01:05:15
come out01:05:18
now then the question six young people01:05:20
come how am I going to do it do says the sum01:05:23
of the absolute degrees of all the01:05:26
terms of a homogeneous and01:05:31
complete polynomial of two variables is01:05:35
two variables01:05:39
we are going to place types two variables but01:05:41
it has to be homogeneous and in two01:05:44
complete variables it says collect the01:05:47
complete one and let's see guys what Do you think01:05:50
I do this, we are going to place this01:05:54
way01:05:56
and they tell me at home01:05:58
we have videos degrees two degrees two01:06:02
degrees homogeneous and now we have done01:06:05
but pimentel complete with respect to the01:06:08
x have completed equated x x to 01001:06:13
square 10 reaches 0 correct01:06:16
complete complete of the two variables01:06:18
I complete the two variables but it does not say01:06:21
that it is of degree 2 it says that it has two01:06:23
variables two variables but it does not say that01:06:25
if one has then an example and we01:06:28
are going to delete it and place the01:06:30
general form in the general form we are going to01:06:32
place01:06:33
the general form is like this01:06:35
this is an example keep in mind that the01:06:38
full name01:06:39
homogeneous on the variable side01:06:43
in this case it does not say in homogeneity it01:06:45
does not say degree of mobility it says that it is a01:06:48
woman01:06:50
x to the m01:06:52
the other will be x to the enee minus one times01:06:56
ten until the other will be01:07:20
geacam01:07:23
the sum is n the sum is n and the xoom is01:07:26
in Christ says that the sum says that01:07:29
you assume n added with who with this m01:07:34
added with whoever I am a01:07:38
young question it is an interesting question01:07:41
how many times do I repeat the r01:07:45
and it says that it is worth 13201:07:48
132 how many times do I repeat lb01:07:52
that is what I ask them just01:07:55
to see who tells me01:07:57
how many times do I repeat lm01:08:04
n1n1 correct n 1 es is not enea no s n s01:08:10
n say why01:08:11
because for example she has01:08:15
equated more and keeps squares already01:08:20
homogeneous like geni degrees two marked01:08:24
and let's ask boy how many01:08:27
terms are there01:08:30
1 2 3 always one more than if here it is 2 and01:08:35
a goal south does not know 3 until the nice01:08:39
here what degree is n it increases from 1 l1 already01:08:44
to boy and now it continues outgoing01:08:47
then for the answer would be nn01:08:50
when sometimes in humans it would be01:08:53
11 we place here that's why01:08:57
one is equal to who to 132 which01:09:02
is 11 times 2 11 times 2 l how much is 1101:09:08
lions worth so I asked you01:09:11
let's go to the day01:09:15
and what is its degree absolute the01:09:17
absolute degree is n has how much is 11 11 the01:09:20
answer half the time would be guys01:09:25
the question is already interesting01:09:27
but Caesar can you repeat the verses01:09:30
look go so that you understand me you are going to01:09:33
guide yourself with this with this it is like this we are going to01:09:36
guide you with this example now if01:09:39
you understand me this and there you have the other01:09:40
because it is in general let's see I will say m01:09:43
this polynomial is homogeneous in the two01:09:46
variables and complete let's see let's see01:09:50
degree 2 degree 2 degree 2 and now let's01:09:55
see if it is complete x square x to lagoon01:09:59
and to house x to the complete steel with01:10:02
respect to01:10:19
absolutes, that is, these two plus here it comes out01:10:23
2 also plus 2 how many times do I repeat the01:10:27
2 in everything, I repeat it three times, that is, one01:10:30
more than the exponent and the one that comes out two01:10:34
times three,01:10:36
so here it is no longer of degree two but01:10:40
is an example that I placed in01:10:43
the air or an equal one01:10:48
for two01:10:50
hours01:10:54
with that example I too01:11:00
if it does not become very complicated to01:11:03
understand why a better general then01:11:06
try from the melon of the more a01:11:09
simpler example and I am going to understand the01:11:12
most difficult We're01:11:15
going to delete the time.01:11:23
Can you do seven please? The01:11:26
party is doing very well01:11:32
and today could be the new one. Please01:11:34
also worry now and01:11:38
see what happened01:11:42
and he's taking a photo of the01:11:44
transports.01:11:48
There are three of them. This sign was seen01:11:52
too01:11:53
and this one01:12:08
and now why so that it is clear01:12:13
[Music] we are01:12:18
going to see01:12:24
we are here01:12:26
and now yes now it is okay we have taken01:12:30
photos let's take it01:12:36
and then we are going to solve the01:12:38
questions that they are telling me They01:12:41
don't have it, maybe01:12:45
now you continue01:12:52
and we are going to achieve if we put if we delete they01:12:58
told me01:13:05
as long as they give you a question and01:13:07
you don't understand what they are telling you01:13:10
something with simpler examples with01:13:13
numbers and then they understand me01:13:15
because if I I did it head on01:13:20
and to answer them number 1 because01:13:23
some boys have answered their01:13:25
answers and not others so as not to find you01:13:28
put yourself put situations similar examples01:13:34
in such a way that you yourself analyze it01:13:36
to be able to answer generally01:13:37
in accordance when one answers a01:13:40
theory question there are times it is a a little bit between01:13:43
funny with actions or not knowing what to01:13:46
answer no then there you have to01:13:49
do it and you don't have to assume01:13:51
examples to see how I'm going to01:13:54
respond so as not to fail well no because01:13:57
generally the question of theories and01:13:59
with half with letters like that is a bit01:14:03
tricky and generally leads to error and01:14:07
for that not to happen you don't have to01:14:09
assume examples and give examples and you and01:14:12
analyzing let's see and the parents I don't know what01:14:15
you are going to realize and what you assumed01:14:17
was suddenly not true01:14:24
for example and be able to compare them and then you01:14:29
realize it's01:14:32
correct01:14:37
and now we are going to solve the question01:14:40
that number 7 is telling me. We01:14:47
come from guys, let01:15:35
's go to question number 7,01:15:40
the seven guys, we are01:15:47
already01:15:49
going with number 7, so what does01:15:51
question 7 say? Let's see, let's see. 701:15:54
says the following to see where the 701:15:59
theory is, Ayalde also01:16:05
already tells you the question if you have to01:16:08
suppose yourself friend and since he says in01:16:11
question 7 he says px like there is a01:16:15
complex polynomial said01:16:18
complex complex that felt complex there is a01:16:21
complex polynomial complete complex01:16:24
will be night this actually I'm going to01:16:27
assume that complexes are not since it is01:16:29
called complex polynomial making me01:16:32
complex when the coefficients when01:16:35
the coefficients are real numbers and01:16:38
also complex numbers and that01:16:40
complex polygon and it says homogeneous of01:16:42
degree 2 when it continued I suppose like this Let's01:16:46
assume either a01:16:50
complex polynomial or a complex one, for example, let's see01:16:54
what I say, I01:16:55
say what it is, this is a complex topic,01:16:57
for example, I can say 2 and square plus01:17:03
3, for example, for01:17:06
example,01:17:07
and for example, here, for example,01:17:11
place square root. of all because01:17:15
square is the porn best play01:17:18
making myself complex is when the01:17:21
coefficients can be real numbers or they can be01:17:24
numbers and imagine that is putting it01:17:26
complex already complex and homogeneous01:17:29
homogeneous degree two awards there are also01:17:33
two sides degree 2 degrees01:17:37
prosperous air and if you remove this it01:17:39
could also be because it01:17:42
could also be a polynomial as01:17:44
sir of course if as a team this term01:17:46
is also a01:17:48
homogeneous polynomial but it is the most complex issue01:17:52
now he says the following he says he01:17:55
wants me to analyze what things very01:17:57
analyze now we are going to be like this wants them01:17:59
to replace replace instead of01:18:02
x xi things they want with what01:18:19
Guys, let's see01:18:22
two01:18:23
gloves x01:18:48
foreigners like this01:18:52
he is telling me you01:18:53
want to know if that polynomial and that01:18:58
polynomial is homogeneous also how do you01:19:02
know that well there I would have to do01:19:04
it I wouldn't have to do it we're going to01:19:07
see we're going to see guys01:19:11
do this I01:19:13
came out here x to the guaraní more 2x and01:19:18
massieu squares, there is also a good way to01:19:23
get 3 and it doesn't change anything. It seems to me01:19:26
that if you go out to see this with this, it is01:19:29
equal to me. I have also squared it here01:19:33
square root of the two.01:19:36
I need this to be the Aragon team -201:19:40
the hit and rather it will play and now they want01:19:44
to know if the result is a01:19:47
homogeneous polynomial list is what he is saying01:19:50
guys let's get going young people01:19:52
let's start01:19:54
to see success together with doing with it nothing01:19:57
is canceled nothing has the same and everything remains01:20:00
square which was 23 and also write down plus01:20:04
3 and then plus to the square root of the two01:20:15
and it would be01:20:33
boy01:20:37
leaves leaves leaves two states indicated has01:20:41
given it would be negative three and negative three and01:20:44
then it comes from square it would be this01:20:47
expression there are01:20:49
verifiable changes it is still a woman x01:20:53
square and it is clear the coefficients01:20:56
changes are few far from the complex01:20:59
now complex and complex is the01:21:02
polynomial which results is also01:21:04
homogeneous and of complex coefficients01:21:08
that is, it is still a complete polynomial01:21:10
and then the first and the first01:21:14
Roman spin is true the first Roman in01:21:17
true01:21:18
seconds01:21:21
indicates the insurance and a supposition any01:21:23
polynomial any official can01:21:25
have placed easier x square of01:21:29
square and the same thing, you know, it doesn't cancel01:21:33
at all, that is, the polynomial is still01:21:35
homogeneous, it is still homogeneous01:21:37
also in the other one, I think that01:21:39
the third one in the second one in the01:21:43
second one is01:21:44
also going to come out homogeneous now, but01:21:46
we can replace it with see in the second01:21:50
Roman let's replace we say m in01:21:53
variable01:22:17
what more01:22:19
and more this amount also more 1001:22:23
square seen guys iphone it01:22:27
already comes out homogeneous not good back and it comes out01:22:31
if you go out for this case if I go out home it does01:22:34
n't come out three measurements of 40 3 x01:22:38
square that more than square joins01:22:42
the 10 squares together 1 and also01:22:46
one more in one and you put them together in01:23:06
yours and now look what's01:23:08
happening guys I01:23:15
'm going to assume that you are looking at these and you01:23:19
're going to tell me the truth we're going to01:23:21
assume that the polynomial becomes less01:23:24
equated I've01:23:26
already squared myself01:23:34
and then like this I'm going to assume that01:23:38
the psa the s&p homogeneous homogeneous is a01:23:42
homogeneous polynomial of degree 2 and now01:23:44
what happens if I placed it more here it is01:23:47
secretly called the oval and now01:23:50
sum sum now I am going to do m james now01:23:53
look at mx01:23:56
now you place equating the square01:24:00
formed with the polynomial that I have01:24:03
Assumed I am at your level it is01:24:05
rising sometimes look guys look look01:24:08
there are so many look and here it has increased from01:24:11
who it comes from what would happen if what you01:24:13
put in nothing you no longer put in anything01:24:16
let's see let's be interesting we call01:24:19
when symptoms appear and Now here,01:24:21
young people, I want you to tell me here01:24:24
if this is what they have given me and not just01:24:27
with how much I get. I am01:24:30
getting anton01:24:33
00. I am getting a question. This01:24:36
polynomial is homogeneous.01:24:39
When the polynomial is zero, it is homogeneous.01:24:50
Let's see what it tells me when the01:24:53
zero polynomial is homogeneous Let's see what it tells me01:25:01
The first case complies but when the second01:25:05
case is failing to01:25:14
Do not session01:25:17
when the polynomial is 0, it is not01:25:20
homogeneous, then the second is01:25:23
failing, the second is failing, the01:25:26
second is failing, the01:25:28
second is also failing, also the second is not always01:25:31
fulfilled at 2, it does not always eat the01:25:33
oneci, if it is fulfilled but if 201:25:38
is failing for this example it01:25:39
is also failing therefore the01:25:41
second would be false the first is fine01:25:45
the second does not comply and the rear01:25:47
teacher the third the third the01:25:50
third for it to be true it should not01:25:52
fail in any case01:25:54
we call a third01:25:57
in the third roman we are going to do the01:26:00
third the hand that says says wants the01:26:03
polynomial is a polynomial I'm going to upload01:26:06
the polynomial be cdx I'm going to assume that01:26:10
the polynomial is squared a single01:26:14
term well and that only genius does not have01:26:16
that at least two are squaring01:26:19
and assuming this is more it replaces the01:26:24
x 0 when I get pd01:26:39
instead of01:26:42
x 001:27:00
homogeneous if you get the third scam if01:27:03
these exist if it is coming out correct01:27:06
for any case but the second one01:27:09
is failing01:27:11
according to then it would be 1 and 3 open01:27:13
the answer if to the 6 it would be what do01:27:17
the kids think and01:27:21
the second one would not make poverty here if it is01:27:25
fulfilled At home it is fulfilled but here in this01:27:28
example it is not fulfilled I assume this01:27:30
polynomial I add it as the one they have01:27:33
given me and I get 0 and when the polynomial comes out 001:27:37
no well and what a genius for01:27:40
a polynomial to be homogeneous at01:27:42
least it has me that give two terms two01:27:45
terms01:27:46
2 term can be 0 if the polynomial01:27:49
comes out 0 you can define it then there the01:27:53
answer boy in that question the most01:27:56
appropriate is 1 and 3 the second is01:28:00
failing even the example is already01:28:04
failing let01:28:07
's go to do now at 9 now at 9 already01:28:10
trick question well trick question01:28:13
young people we want01:28:17
s forms theory question you have to be01:28:19
very careful because anyone can01:28:21
fail01:28:22
anyone can fail you have to be01:28:26
very careful in the theory question to be very careful01:28:28
very careful and also have a little bit01:28:30
of lucky because because there are times in the01:28:35
exam you can't think of01:28:37
cases of failure and if you accept everything as01:28:41
true and when you get home to01:28:47
find a01:28:49
false one then01:28:51
it is a case that fails when dreaming als01:28:56
but that didn't occur to you in the exam01:28:58
because the pressure or the speed with which01:29:01
one has to do it01:29:03
beyond this podium that idea and01:29:07
for you now well01:29:12
we even find for example well it01:29:15
is false that01:29:19
is what is happening01:29:23
now we are going to do the one about the boy and01:29:25
observe01:29:35
the questions are easy but some01:29:37
songs, you don't always have to be01:29:41
careful, you always have to be careful01:29:44
when you test the mission,01:29:45
so you have to be very poorly thought out, as01:29:49
they say, because the question sometimes01:29:52
seems easy but it has to be01:29:55
careful, people as it is01:29:58
and the people who They look nice but01:30:00
for which they betray you01:30:06
and that's what happened for that question01:30:08
well apparently not01:30:23
I'm sure that all the boys are going01:30:25
to apply01:30:26
and surely not surely but01:30:30
I do tell them something young people to enter01:30:33
the uni first is to enter to the01:30:35
university of Callao already but it prospered01:30:39
because let's see explain that detail it was01:30:41
small for example you are going to say that01:30:44
you have a ladder now and you when are you01:30:47
going to when are you going to go up you are going to go up01:30:50
first step second step third01:30:53
step I do if not You are not01:30:56
going to go up front, you are not going to go up01:30:58
to the last step, so to01:31:00
enter the uni, which is a more01:31:02
difficult challenge because you have Peru at the uni01:31:05
in the university in which the exam01:31:07
is generally not the highest the01:31:10
level than any other university if it01:31:12
is not the most complete exam as they01:31:14
say no although in the last exam it01:31:16
was easy and not the kids some01:31:19
have been bothered because it is too easy01:31:21
sometimes it is something relative no but in01:31:25
general the exam is regular01:31:27
so I tell you to enter the01:31:29
uni first you have to enter01:31:31
quiet because because the callao is01:31:34
quite adjusted to the uni because because01:31:36
there are a greater number of questions in01:31:38
mathematics and physics, chemistry and letters,01:31:41
it is relatively easy as well as the01:31:44
uni exam more or less is then01:31:47
if pérez is quiet that means that01:31:49
you have a good chance of entering01:31:51
the uni now because sometimes the boys have01:31:53
long-lasting postures or that stress in the01:31:55
English language is scarce because not being able to be what01:31:58
you lack is for the exam and it is01:32:02
necessary for money to have this01:32:04
knowledge then to have an01:32:07
exam strategy and many things and there are times and because of01:32:10
the cost of the exam that is expensive, the01:32:14
same thing is an exam of the only survey01:32:16
like 900 soles to create us and the01:32:19
detailed exam that It's much less01:32:21
because the first album, his strategies,01:32:24
all of them, something without boys,01:32:27
is the most appropriate. That's what I recommend.01:32:30
Now,01:32:31
let's get on with the questions.01:32:38
Snow has a trick. Also01:32:45
ask him to see where the artifice01:32:49
of this question is.01:32:50
In the question, he tells you to indicate. the sum01:32:53
of coefficients of the following01:32:55
complete project let's already put variables01:32:59
variables01:33:03
let's see the square01:33:08
Jan 12 - 6 now I'm only going to copy the01:33:12
terms and the second because01:33:16
then put01:33:26
It is the delta01:33:31
and by indicating the sum of the coefficient the01:33:34
following tour completes and01:33:36
ordered it boy, I am going to give you the01:33:38
examples, one that is the cinema01:33:42
and this is a position the complete yes01:33:45
where it is ordered in increasing order and01:33:49
this is another polynomial complete but01:33:53
it is ordered in what decreasing way and01:33:55
in what happens here I want to know about01:33:57
our reign and by the increasing or01:33:59
decreasing you are going to realize by01:34:02
the exponent01:34:03
if you are going to go and increase its not appearing01:34:08
place the regret south no appears locates the01:34:12
event south the next term does not appear01:34:14
the next with it then that01:34:17
which indicates that the polynomial has this01:34:19
form and here is the constant here this01:34:22
linear artist quadratic and that is what01:34:25
Albert said for the exponent do not account for01:34:27
increasing and increasing01:34:29
at the moment one comes out and increases one comes out01:34:33
next then what is indicated01:34:34
has this form there so guys the01:34:38
12 minus 6 has to be equal to zero01:34:41
nothing more01:34:43
and it and it is worth it when 3 2 6 7 2 3 we already01:34:48
do it and everything comes out01:34:51
now We are going to replace so that you take into01:34:54
account what happens in e3 here it01:34:57
would be 9 x to the 0 and then it ends up going down01:35:01
and going down the number 108 always goes down01:35:04
but for x to the 1 then it would be 7 it01:35:09
would not be 7 times x squared and so on01:35:13
does not give me away 6 x01:35:35
the ones01:35:39
above and 1 for They01:36:00
ask you for the01:36:03
sum of the coffee coefficient, guys, so01:36:05
the ammunition area is also calculated01:36:07
when the equity adds01:36:12
98 and so no, and this is already the case,01:36:15
adding by applying a formula yes or no01:36:18
until Lucas01:36:20
123 until 9, which is equal to 9 not01:36:26
for 10 out of 2 the sum of the natural numbers01:36:29
from 1 to 9 and how much does that cost me 1001:36:33
divided by 25 45 what did you think the answer01:36:37
is 45 the beta01:36:39
the boy solved01:36:42
now little trick nothing more01:36:45
then01:36:47
since everything is fine yes teacher this one01:36:51
later right now it could be the problem01:36:53
of 3 and 8 please now on 3 and 801:36:57
we are going to see the 3 the 3 and the 8 and the 801:37:01
first we are going to do the other the others01:37:03
a little tricky also to egypt01:37:06
almost this already we are going to do the 8 first01:37:08
day01:37:13
801:37:19
now a small detail in the night01:37:21
we are going to analyze it01:37:27
first we are going to do the voice01:37:32
and you realize that the question is not01:37:35
difficult but that you just have to01:37:38
realize it is always the mathematics01:37:40
of the university when you are In01:37:43
giving your practices already at the university01:37:44
when you are there the level already increases and it will01:37:48
be stronger the questions the01:37:50
practices for example the01:37:53
directed practices the qualified ones as they are the01:37:56
qualified ones are of the regular level and the01:37:59
exam follows a nap until the exam01:38:01
final if it is to kill people there are already01:38:05
40 students at least they will pass 1201:38:09
months of01:38:10
final exam it is the fourth boy it is01:38:13
terrible it is a massacre we are01:38:18
moving on with the night01:38:21
the facials are regular the ending01:38:24
is very strong and yes always in all01:38:26
universities They make it strong so that01:38:29
the kids can01:38:31
say well never that I still have a lot to01:38:34
learn01:38:38
x is equal to01:39:00
+ 2 and successively does not01:39:06
have more than more than the smallest and here comes01:39:09
12 day 12 that represents01:39:13
12 that represents if there are no variables01:39:15
that represent the independent term01:39:17
and 12 means guys the01:39:21
independent term it is assumed that the c01:39:24
cannot be 1 if it is ok 1 would come out 201:39:27
there was a contradiction well there would be no01:39:29
contradiction because here it is 1 2 301:39:32
this coefficient is supposed to01:39:34
be greater than 3 with 12 hours in 101001:39:38
it could be ok 5 per day it could be01:39:41
hating yourself come on boy I asked the01:39:44
question the complete and01:39:46
ordered polynomial already complete and ordered in this01:39:50
way the same x squared plus01:40:08
I can do01:40:10
this what happens if I subtract in eating 2 - 101:40:14
is the same as 1 - 001:40:17
always under feet or when you subtract from01:40:20
left to right you always get01:40:23
none when you subtract from left to01:40:25
right you will always get one because01:40:27
the constant is at the end with the01:40:29
constant there is the end here is the01:40:31
constant at the end so guys what we01:40:35
are going to do is subtract by01:40:37
properties in every complete and01:40:41
ordered polynomial and so you subtract that put the01:40:45
result comes out one always these yes01:40:48
you run you are with him the result always01:40:51
comes out01:40:59
201:41:06
201:41:07
-01:41:11
thinking more or less than the number that01:41:13
how many equations can I form01:41:16
2 - 2 unless from here comes out minus01:41:23
23 of relation01:41:29
[Music] it is01:41:32
already assumed that he01:41:35
the air are natural places01:41:38
this one too01:41:40
and01:41:43
when one comes out it would also be more than 3 -01:41:48
- - not both when they should come out one01:41:54
also also one then here I live01:41:57
lives 16 here it would be01:42:01
11001:42:04
and that's it01:42:09
and that's what makes friends and Pérez01:42:14
Diego 22 equations to be able to calculate01:42:17
in the beautify when the01:42:20
day is conserved have them I01:42:22
should have two or I should have three01:42:24
what do you think that equation is what I'm01:42:31
going to do now01:42:33
make the other one and if there isn't one and if01:42:36
we can't make the other one what would happen what01:42:39
could it be then now I'm going to01:42:43
well let's see the detail that we can01:42:47
get from here we can get the01:42:50
two a is equal to who also 3 very good01:42:58
and then we are going to use this01:43:00
relationship that is here with this relationship I01:43:02
only have two equations nothing more01:43:04
since I can do guys01:43:08
what's up What happens if, since I have two01:43:12
equations and the exponents have to01:43:15
be natural numbers, then what I am01:43:18
going to do, I am going to accommodate01:43:22
convenient values because the small of an01:43:24
equation and one with each side of01:43:26
action, I cannot use Ricard to01:43:29
also apply a factory and That's even01:43:34
what's happening but it can't be01:43:36
like that.01:43:38
Let's see, guys, let's see. It's uneven. Let's01:43:41
see here, I said it could be here.01:43:44
[Music] Let01:43:46
's make something. Now a guy is01:43:49
telling me this. Professor01:44:04
one more relationship already01:44:06
supports them but if I'm not going to give values01:44:09
I'm going to try something else with this one and here01:44:12
it comes out another 3 placed less 3 now here it01:44:15
comes out when 3 301:44:19
now how much is the pse worth in the mild cba01:44:22
2 - 2 that's it and then continue if you decide to01:44:27
go to the last 12 12 but maybe01:44:30
by doing or not elisa the 0 in the problem01:44:33
and bail well go treat them with the01:44:36
ball01:44:37
observe this minimum detail if you are going to01:44:40
be with him when he saves you if you dream01:44:43
With him, when they save you, it's01:44:46
55, wow, topic 5, but the BBVA has01:44:50
put it based on that one, it's better that they01:44:52
have reserved to delete guys and put01:44:55
her in functions. Here it would be week 401:44:59
to discover, well,01:45:01
something is being discovered here 2 x he sees how much it is worth01:45:04
6 semesters here it would be more 31 plus01:45:09
just weeks two are already ready guys and01:45:12
the last one is a tone the last one is 12 and01:45:22
five are already here how much is01:45:26
c5 worth aha and there is the how much is it worth topic 5 aha01:45:31
ask how much should it be worth what to put and01:45:39
how much should it be worth with it guys01:45:43
topic 5 key you must choose how much01:45:47
this sum should be worth how much is it worth01:45:49
topic 5 and to this sum how much is it worth how much is it01:45:53
worth this sum is called 5 the sum is01:45:56
called 5 this sum how much is week 501:45:59
and this sum is a quarter so that the maximum is01:46:02
12 1201:46:06
but not how much it should be weeks01:46:10
is in the room and from there we01:46:13
discover that we are talking about 501:46:16
We have already discovered01:46:25
the other one has already been discovered and it can be01:46:28
discovered if the occupation can be discovered01:46:33
because we were missing another equation that01:46:36
which we could not define when because if01:46:39
I could not discover the other equation01:46:40
I was given to values and looked for01:46:43
alternatives it is also neighborhoods of air01:46:45
or the problem, let's go, guys, let's01:46:47
replace it, let's see,01:46:50
pd x is equal to the good, it would be01:47:03
per01:47:08
week01:47:09
and here they all come01:47:13
or x how much is bbc3 worth01:47:18
three years01:47:20
when you get 301:47:23
it's01:47:34
and01:47:36
assume taking01:47:39
65 add with topic 5 sum to take01:47:43
65 ask that sum how much01:47:47
more time should be given be 1201:47:50
020 how much should topic 5 be 65 keita01:47:55
guys now what's happening what's happening what are you going to01:47:59
subtract what is worth 5 is being01:48:02
discovered now yes guys with that it01:48:05
would be all good if it's worth 5 when01:48:08
the topic of zinc returns01:48:12
5 the age of 55 38 24 the language very good01:48:20
now yes young people we can give the01:48:23
answer to the film I will put it01:48:25
now because what I thought was to give it01:48:27
values in that question is 8 but it doesn't01:48:31
need the exam this tree counts 1201:48:35
and now if we can calculate in the01:48:39
wood we are going to see01:48:42
the01:48:44
4 the 25 and it goes 501:48:56
how about01:49:02
also a little bit of01:49:05
analysis skill because it wasn't that easy01:49:12
anymore It was so easy it was not so easy01:49:19
and a little bit of skill a little bit of01:49:21
skill it was01:49:28
very good let's delete guys and now they01:49:30
are telling me the question doesn't say01:49:33
I'm doing the 12 the 12 we're going to01:49:36
do the 12 to check I don't know why01:49:38
check this question 8 interesting the01:49:41
boy me too this I was not going01:49:45
to be it did but it was going to be in another01:49:47
way the values but it came out I01:49:50
realized because of this detail for this one for01:49:52
this actress something is already warning the01:49:55
goya01:49:58
had a The question is a little funny, we are01:50:03
going to address it and ask the question,01:50:06
they told me01:50:15
but there is no01:50:17
problem.01:50:19
33301:50:24
As you are moving forward, it is being01:50:26
resolved, so some difficulty will01:50:28
suddenly arise.01:50:48
Now we will see that the teachers teach classes01:50:50
through various platforms. It could be through the01:50:55
tablet, others. They do it so as01:51:00
not to step on it, like me,01:51:07
in many ways there are many ways to01:51:10
avoid virtual classes01:51:15
and there are many ways and this is one of the01:51:17
ways the oldest way is on the01:51:20
blackboard01:51:21
on the blackboard this is a blackboard as I01:51:24
say for the kids of metal01:51:27
exclusively to teach classes01:51:32
now exclusively01:51:37
of blackboards there are quite a few there are perhaps01:51:41
acrylic ones there are teachers who suddenly01:51:43
wear markers and this perhaps because they01:51:47
had a metal toy it is already01:51:50
called shading them acrylic the white one01:51:53
has its advantage and it also has its01:51:55
advantages of01:51:57
acrylic blackboards of blackboards01:52:00
so that it also has its advantage of01:52:03
being on top blackboard is not made of wood01:52:05
and acrylic is made of metal metal metal01:52:10
is already a special material to avoid01:52:14
classes and make it look as good as possible01:52:23
let's go01:52:28
see ticos Let's go to the question, they did01:52:33
n't tell me there, let's see the 12 and the 3rd,01:52:39
the 3rd and the 2nd, let's see the 12th edition, it goes down to01:52:44
12 guys, I'm going to do the 2nd and the 3rd at01:52:46
the 13th, the teacher did it a 13, everyone has01:52:50
done it. the 13 regions of a question01:52:52
asked the 13th and the 13th also has a01:52:54
trick and I am going to ask the 12th01:52:57
ball 3 and then in the company that01:52:59
you say we are already going with the 12 201:53:03
in question 12 in question 12 It says01:53:09
like this and altima a trick also that01:53:11
question has a trick01:53:13
an artifice as they call it and the01:53:16
mathematics01:53:18
in question 12 consists of the 1001:53:22
Fridays01:53:24
asked that yes now when you have01:53:27
a polynomial when you have a01:53:30
polynomial of degree 2 of degree 2 e01:53:34
they equaled here b appears01:53:38
like this of the three of its coefficient01:53:41
then it has more the01:54:00
taught this when you have a01:54:02
quadratic polynomial01:54:06
the theory says like this01:54:09
the quadratic polynomial type is the law 6201:54:11
values that cancel the poly where they are01:54:14
called roots that is to say by the degree you01:54:17
realize that referring to a dance it comes out01:54:20
0 and a beta for example comes out 0 but there01:54:24
are no more values and also values there01:54:26
cannot be an expression that is to01:54:28
replace the house of 0 impossible01:54:30
it contradicts the theory if the little room01:54:33
has to see two values in all01:54:35
men they can be the same as they can01:54:36
be different but there are only two01:54:39
values that he canceled and although it happens here01:54:42
he has to play tico so how many01:54:44
values does he have to cancel two values01:54:47
but according to the act the polynomial is canceled01:54:50
for more than two values, finding that it01:54:54
is no longer a typical square polynomial but rather it01:54:57
is a null polynomial like this01:55:00
example01:55:02
pd01:55:23
tico square polynomial01:55:26
I would have to see two values it just01:55:29
tells me more than two so conclusion this01:55:32
polynomial has to be students times01:55:36
700 it has zero and everything is over it is already01:55:41
represented the conclusion guys everything01:55:44
comes out zero01:55:46
the polynomial has to be null already at01:55:48
dawn we bird more does all this is01:55:54
equal to zero then it is equal to 301:55:57
this equals 01 soy the01:56:13
zero too, that is, if they equal01:56:16
times now and then you're going to multiply, we're going01:56:19
to multiply, but above all, above all, like this,01:56:24
like this, not everyone because you all make us01:56:28
stay and also we have that's worth 301:56:32
here getting rid of that cancer would stay01:56:36
marvel01:56:37
amave is equal to 6 now and here it comes out,01:56:42
the gay must be removed and you would stay with01:56:45
whoever has more fences and that is equal to01:56:48
who when you see it now and now what do you01:56:51
multiply it now if you multiply it now01:56:53
but not all against all but01:56:55
multiply more when using I wanted to put01:56:59
concepts to ford by c and then it would be01:57:03
indicated in addition to no more than more and01:57:08
never have guys presented their products01:57:11
already and the result is already you but also01:57:14
here it would be01:57:17
18 x 9 and 18 by 9 ends in01:57:23
22 and You are looking for alternatiba to end in 2,01:57:30
let's see which alternative is the only one,01:57:35
there is no more, you are not even going to use01:57:38
your only look, it ends in two and01:57:41
if there is not more than one and that is the01:57:43
answer, do not mistreat yourself by operating now01:57:47
also now I'm going to do the 3rd and then01:57:50
the 13th present, there01:57:52
's maybe it has a trick, it just has01:57:56
a trick, and on01:57:58
the 3rd request a young man says let's see01:58:01
what the 3rd says, the 3rd01:58:05
you say aunt and the 13th later I don't know01:58:09
if they have done it. 13 is a question01:58:11
that has been around for a long time.01:58:22
The question is not difficult. You01:58:24
realize that they are not ready. They are like an exam,01:58:27
the mission is and the teacher who put it in01:58:29
has had enough wisdom not to measure01:58:33
the questions as if you were right now01:58:36
in the exam. admission01:58:40
because in algebra there are simple01:58:43
to complicated questions01:58:45
the alcalá has three levels the01:58:48
basic intermediate and advanced level and right now01:58:51
we are looking at an intermediate and01:58:52
advanced level because because it is very laborious01:58:57
it would be a01:58:58
blackboard and we are going to01:59:02
see01:59:06
3 what happens what happens it says it has Three01:59:10
external terms 401:59:46
relative to registered relative to x of the01:59:49
pp because it01:59:53
was already relative to who is the greatest01:59:57
exponent with respect to the x has one02:00:00
in the two and the plus 3602:00:03
you are the greatest exponent with respect to02:00:05
the it is02:00:08
worth how much it says02:00:11
it is worth 802:00:14
means that it is equal to 5 also02:00:17
now it says the absolute degree of02:00:21
absolute degree of tells you that it is worth how much02:00:24
we are going to charge on this 2010 let's02:00:28
calculate senate just have to go more cinema02:00:32
minus 1 which adds to everything has more02:00:36
cinema plus 1 and here it would be m more cinema to south02:00:41
no who earns m more in females 1 in02:00:45
19 more has less one actually02:00:47
any of James bathing would be m cn02:00:53
and plus one can be any country02:00:57
it is equal to betis but now he has s lma lm he02:01:02
already has it and calmly that house02:01:06
602:01:08
let's subtract 14 and here there is also around02:01:12
there it is better in 14 times 5 how much is 7002:01:17
the answers that come out 70 guys it's02:01:20
good02:01:22
facilitate this question you02:01:25
agree02:01:29
the guys say let's see02:01:32
If02:01:34
13 we are going to apply my duty that is a02:01:39
method it is a challenge that we are not going to apply02:01:42
in many questions there are many questions02:01:44
apparently complicated presse age02:01:47
to center values some values and02:01:50
not variables to the x to the x is to wash a02:01:53
trick now then let's go to place it to02:01:55
change02:01:56
then this question 13 we place out and02:02:01
the 302:02:04
36 place the expression x can be 0 and02:02:09
1102:02:12
fx squared I am not copying the02:02:16
question efe of who of 1 - y over 102:02:21
plus 64 x,02:02:25
just have a single equation,02:02:28
here is a variable x of a02:02:31
variable 1 -02:02:42
of land this morning and you are not02:02:44
going to be able to calculate the excel x is not going to be02:02:47
able to calculate so of course what02:02:49
we are going to do is instead02:02:55
of place 102:02:59
x 202:03:02
where you see x x place sixth02:03:07
and vice versa where02:03:31
but where you see xd02:03:35
you place its equivalent to 1 -02:03:56
be02:03:59
you want Danish drake's and it also02:04:02
appears here02:04:04
it appears now but the detail is that you have to02:04:07
eliminate or discriminate and to02:04:09
eliminate these two it must be the same and02:04:11
I want it to be what would be missing for him and02:04:15
here we are going to call it02:04:17
and it is going to be guys high so02:04:22
I'm going to do the following02:04:27
then he says it's equal to him but02:04:30
they're not equal and he got it squared and he02:04:33
squared it and alpha accelerates it02:04:35
squared and she squared it would be fx02:04:39
squared like it would be rise02:04:42
squared02:04:44
squared the embargo has given 4a02:04:50
the black squared squared02:04:53
of whom all this 1 - and over02:04:58
one plus x to which sides and squaring all02:05:02
this02:05:04
64 squared and x squared but who02:05:09
won and won and forget look at these two02:05:12
equations to see what happens what what happens if02:05:17
I now / / the between itself I divide the02:05:21
between itself you direct this between this it02:05:25
with the one that passes cancels and you will be02:05:27
left with the eating more and it would speed up02:05:30
now we are going to place when dividing this02:05:38
this is what they have given me The trick is02:05:41
like this, no here there is nothing to think about, you02:05:43
face it, he changes it, he sneaks it like this, it will always02:05:46
be like this in any question,02:05:49
of course, this is the simplest case, the simplest case02:05:53
in the law and places sixth on the02:05:56
is in place of him he placed02:05:59
ekis ekis ekis and instead of02:06:14
squared is 4 squared and02:06:18
squared is 40 now I'm going to02:06:20
do between these two between these two02:06:22
they have to divide because because if you02:06:25
divide the one between the one that passes the one with the one it02:06:28
cancels out it would be what you02:06:30
want now It is the hornets trick and now02:06:33
we are going to divide it on another board02:06:42
because it is going to be equivalent to 1 - x02:06:46
about02:06:47
this good question we are going to explain it02:06:50
again02:06:51
because of course she has the idea now we are going to02:06:55
explain the typing why02:06:57
because that expression has to be equal02:07:00
to the other one and let's go to Barça, look,02:07:03
everything understands that the02:07:14
replace with novel02:07:17
business styles continuous to forms you are02:07:19
forming two equations in which he is02:07:22
a variable02:07:24
it is like saying for example he explained02:07:28
himself for example I have an equation02:07:30
that he writes is equal to three questions02:07:34
this I cannot solve02:07:36
apparently he does not I can because it is02:07:38
because I need a position equation02:07:40
and there is another equation where the02:07:54
X and02:07:57
I want it to appear for example 1002:08:00
and there is a footage or boys like that I02:08:03
can't have not placed a variable02:08:07
that where it turns if here yesterday and that02:08:09
they comply and that appears and not to02:08:12
appear z because there I do not know consider02:08:14
with three variables worse me by type more02:08:16
then what do I do morro this and colo colo02:08:21
that I want him to go he wants him old02:08:23
I want fighters now if x x xi and thus02:08:28
solve who are the values 2 and 1202:08:31
more 1 time the same here02:08:34
and02:08:35
after kissing02:08:37
well but that's because it also says that02:08:40
all02:08:55
an02:08:57
equation or a variable is a variable02:09:00
and this is the other one has two equations02:09:02
with two variables appears the same always02:09:05
said that02:09:13
He says no,02:09:16
professor, I'm going to contradict you02:09:18
and here I'm going to place more and here meters02:09:21
we'll see, I have less here because it's02:09:24
false because what happens if the guy does this02:09:27
well it made it worse for me because it comes02:09:30
because the x the Are you going to change because of this or02:09:33
it's going to look like a new variable, which I'm02:09:35
not saying will make another variable02:09:38
appear worse, the more complicated it is for me,02:09:41
the x or the index is the trick guys so that02:09:45
I get the same variable here02:09:48
it is less and here it is more, that's how it is, there's02:09:53
a desire for it and you form the equation, look at02:09:55
this variable, this variable, this02:09:59
variable, that's the idea, that's the idea that02:10:02
the variable walks with a partner, it's02:10:05
open, it also appears there, it's there,02:10:07
so that's the idea to be able to02:10:10
solve the problems. You ask, if it doesn't get complicated, it02:10:12
gets more complicated and you put02:10:14
another expression instead of the It02:10:37
is not now I know how 56 years whether02:10:43
presented02:10:46
because we are going to continue02:10:49
but you already knew you know and that is the02:10:53
simplest case except simplest02:10:56
because there is another case in the current one that02:10:59
you have to make two changes of02:11:00
variables two changes two changes02:11:04
is the bravest and they have not put that in02:11:08
the teacher who has put has put the02:11:10
simplest, most trivial and easiest case02:11:35
and now we are going to divide now02:11:40
because he lived already so the answer02:11:43
now02:11:46
we are going to divide how we are going to divide02:11:49
guys now the one among the02:11:52
people at the top from work let's go upstairs02:11:57
if you are the one among the one who happens with that02:12:01
cancer and you would have this among this it02:12:04
will no longer be divided what I get I02:12:07
would have this one from x someone to the quarter02:12:12
between feet between who between xerez is02:12:17
high the list of what you want to see and02:12:22
now I tell you the fx to the fourth the02:12:25
equivalent who is this this02:12:28
expression02:12:30
would always be02:12:32
64 squared because by the square you02:12:38
divide it by 100 by the by02:12:43
64 and step by step I am doing now02:12:46
so that the operations you02:12:50
are between one closer and even02:12:53
guys spend there is the division that02:12:57
we make products of half products02:12:59
extreme products that means that I am here it is going to02:13:02
happen to where the numerator if this02:13:05
happens the numerator and there was quantity if02:13:07
with equal bases division that something02:13:10
knows with this one subtracts 4 from the 13 102:13:28
326402:13:52
cubic02:13:56
took the cube root of cams to the one02:13:58
third as you want with the cube root and02:14:03
you would have the x axis02:14:09
364 republic 64 how much is exact of02:14:14
44 x fox and public cubic root of02:14:18
who of x squared times 12 x over 102:14:25
- y that could be the things if there is no02:14:27
no accommodate we are going to accommodate what02:14:31
one wants02:14:36
now look guys this is the02:14:41
alternative here you win the bet let's02:14:45
see if in the in question number three02:14:48
know the 13th let02:14:51
's see clearly 4 No, in02:14:55
fact, the boys02:15:04
always process, so I can always02:15:06
replace she02:15:16
just02:15:21
came from the umh and this came to the02:15:23
uni five or six years ago02:15:27
5 or 6 years ago she came to the uni this02:15:31
and another question02:15:33
says that on Thursday the 17th at 5 and at 502:15:41
we are going to solve the 1702:15:47
17 we are going to go this has come02:15:51
five or six years ago recently02:16:02
now so what does it mean that it could be02:16:05
by itself02:16:10
but you have seen what has come02:16:12
in the last exam well it is easy and it is02:16:15
easy because the exam has been02:16:17
virtual but it seems that now It's going to be02:16:20
in person, it seems like it's going to be02:16:22
in person, make sure the teacher is present, it's02:16:25
going to be that it was the teacher, nothing do02:16:27
the level, the level is going to be, it's going to02:16:29
have to go up a little, of course, it's not02:16:32
going to be like the last exam. virtual02:16:34
that has been easy to the right to the exam02:16:35
it seems that it is going to go up because physics weight02:16:38
to more than 38002:16:41
clarified is that what happens here is taken out that is why I did02:16:44
not weigh by pesos of course02:16:49
for example if they ask me02:16:51
what do you have to study02:16:53
more algiers or physics but start thinking02:16:57
guys in algebra more or less it comes from02:16:59
10 to 12 questions02:17:02
on the other hand in physics when the question02:17:03
comes in that already well imagine 20 and 1002:17:08
to 12 means that a little more time02:17:11
here physics reality because There are 2002:17:13
questions according to the questions, you02:17:16
also have to distribute your time,02:17:18
it's the truth, guys, so I02:17:20
advise you to study a little more02:17:23
physics and chemistry, that is, a little more02:17:25
time due to the number of questions, it is the02:17:28
most logical thing. the most logical02:17:30
logical thing we are going to ask the question02:17:35
now no longer02:17:38
how02:17:41
to morelia was stirrup02:17:45
I say it comes a little bit02:17:52
for example in salt marwood and with the02:17:55
mind they already give it an hour of more02:17:57
troubled one hour nothing more and to love already02:18:00
by generating and making reality two works to02:18:02
geometry also two hours was wheat02:18:04
always marginalizes it I don't know why because02:18:07
in the first cycle when you are going to do02:18:08
and more active integrals apply pure when02:18:11
counting without02:18:13
trigonometric functions everything02:18:23
question 17 says if it says ah it is equal02:18:27
to minus 6 since He tells me now he tells me he02:18:31
asks me to calculate and kindly for trousseau something02:18:37
that does not know more than blocks is being02:18:44
seen about02:18:49
66 sometimes02:19:00
according to formula 302:19:05
the first few02:19:08
seconds02:19:09
it seems like02:19:12
if you multiply by those cubes this02:19:15
sum of foam has already been played They are guys02:19:17
this behind about those who over six02:19:21
sometimes and now look now what we do02:19:24
apply the properties and you master02:19:26
which these let it pass left02:19:29
plus +6 equal to zero property and you02:19:33
can even values also here you put 12 and02:19:37
minus 3 if the sum in 0 when the sum02:19:40
of cubes of the property02:19:45
if 10 when the sum of cubes 15 by02:19:48
xavi02:19:49
3 abc 3 abc between 6 sometimes a02:19:55
natural response for being on the team02:19:58
the answer is a means that seemed to him02:20:00
director more02:20:03
let's see let's see another another question that02:20:06
seems difficult to you that you02:20:08
can't solve it02:20:10
19 18 and02:20:13
15 is a help to see the 15th a help02:20:17
for 15 to see02:20:19
the 15 the 15 I'm going to see they play in the 15th and at02:20:23
15 and at 15 guys now Let's go with02:20:27
1502:20:31
here we are going to see a little bit also the02:20:34
same as the previous one in 15 it says if02:20:37
it goes up 002:20:38
if it goes up 0 I was to know by property02:20:41
that the sum of had 4 3 sometimes not what02:20:45
we have already done until here we go well02:20:48
abc properties of property yes the 1302:20:53
times but I will give you the wiesn at the time it is02:20:57
said that it is two states so up to02:21:00
here it is worth 6 no because two times three and six02:21:02
now this data that is coming out you02:21:06
have to square it be Let's continue02:21:08
to see here we are going to02:21:11
square guys and the answer would already be02:21:13
then it would be to play more cubes more02:21:17
cured you have to squared02:21:21
and the 6 you are also going to stop but02:21:23
so that to generate just what you are02:21:26
seeing because you are seeing v 1 josé02:21:29
v02:21:31
we are going to develop the first02:21:32
squared of Argentine power vaccinated to the02:21:35
poured squared the first square02:21:37
first gauged to the sixth and second to the02:21:42
square of the sixth since plus third02:21:46
square will be sixth plus two times now02:21:49
that it comes Now the elements come02:21:52
taken two by two, that02:21:53
is,02:21:55
here we place the football played more now02:21:59
two by two of cubes and maybe just02:22:02
what you want and the other one that this02:22:05
would be a cube and I know that there is maybe already and that02:22:09
by data says that it is equal to who at 3602:22:14
asks02:22:18
the sixth mother to the sixth and 2013 as a02:22:22
boy you are going to subtract between 6 and 16 between 2802:22:27
that is,02:22:29
v02:22:31
there were a few seconds how much is 8 worth02:22:36
36 - 2016 between 288 who most ask to see02:22:42
well, nothing else is the same here in the02:22:46
one above that comes out 8 and the denominator02:22:49
that you get at the same time a cube and the02:22:52
book 6 is not the answer in hunting02:22:56
4 of that month to02:22:59
43 and know how you live they already said02:23:04
an idea for the 27th02:23:07
to the 27th is not okay now it's okay02:23:12
2702:23:15
2702:23:24
we call with 27 in the 27th we're going to see02:23:29
what the armistice is it's coming pr x cube02:23:33
- x square is equal to x fifth plus x and they02:23:39
ask you to calculate pm the ones and the02:23:42
logical thing would be so the normal thing is that02:23:46
all this you equal to whom minus one02:23:50
is normal and only the with equal I yes there02:23:55
was less team has given is equal to02:23:59
who minus one pole and why02:24:02
and we are going to do a small detail the x02:24:06
Let's solve for it to be equated less or02:24:10
nothing more. Now look at the successes and02:24:16
you have to think like this when you would have02:24:18
p - 1 the result has to come out a02:24:21
number one cannot come out based on02:24:24
the x because this numerical value02:24:28
would be easier and better. If they said, for example,02:24:31
txt is equal to 1202:24:47
time you have l and02:24:49
replace here y is the answer but02:24:52
calculating the x here is a little difficult02:24:55
so I will not be able to calculate the x if it02:24:58
is not everything but not the02:25:05
presents in this02:25:07
situation that you can't calculate the What am02:25:26
I going to do to see what02:25:29
artifice we are going to apply in this02:25:31
question ready to take a photo that's it02:25:37
we are going to apply the artifice the objective02:25:40
is to get the x5 everything and I can't if you02:25:45
try to get the x6 it's complicated02:25:47
so the ball idea taking everything the02:25:51
future is a value02:25:54
we are going to delete them here02:26:05
since they thought of the questions you02:26:07
realize it does not have much it02:26:10
is not so complicated it is not so02:26:13
complicated it is regular but easier to02:26:16
regulate nothing more it02:26:18
is already like for an exam the mission02:26:22
because I previously when I solved02:26:25
review practices wow02:26:29
a better question to a blackboard02:26:33
later it could be 23 please02:26:40
stabilize now let's go02:26:47
302:26:57
because I don't know02:27:02
if you remember I was intrigued when02:27:05
the teacher talks about degradation and02:27:08
it means degradation as you understand it02:27:09
and gradation02:27:13
and Tell me what things degradation02:27:20
someone knows what things degradation02:27:22
degradation means decreasing the02:27:25
exponent of the formula of grace 12 not02:27:29
squared 1 minus double02:27:34
what does that mean lowering the exponent for02:27:37
this man we are going to degrade him02:27:40
based on the boys so we are going to02:27:44
calculate this one02:27:50
the02:27:53
xx02:27:55
is already going to calculate and so I'm going to02:27:58
give it away where baby quinta nova schin x x02:28:02
square and more02:28:17
how much is the square of the 1 x who02:28:21
can and Juana 26 also and now carry out02:28:26
how much is the and fourth It02:28:41
seems that02:28:45
it covers x - x square and more02:29:14
and square and more science that happened02:29:18
with a view to looking looking with it is02:29:21
preserved and until now lives when that02:29:24
team minus x square is the answer02:29:29
how many xq the x square is one zone02:29:32
minus its minor rhythms and until02:29:37
then we say minus 1 - 1 who It is02:29:43
xq minus02:30:00
let's solve the boy who02:30:03
told me the number02:30:06
don't forget02:30:09
that you told me boy that you told me02:30:13
the 'number I think measure and 23 now let's go02:30:18
with the 2302:30:20
ayala 23 there is some of being aware02:30:23
notable interest02:30:27
already interesting the technique is that technique02:30:30
come back they have I have to memorize it because we are02:30:33
going to apply it to many other02:30:35
questions. There are problems in which with02:30:38
this technique the questions come out. It was02:30:41
a technique that says02:30:49
apply to your02:30:52
styling02:30:54
the enee minus 8 less than a girl02:31:00
explains the technique says yesterday the new02:31:03
deterioration of the conscious stable some02:31:05
process I have no idea what02:31:07
that consists of look see with seven remarkable02:31:10
are these x cube of night hugo about the02:31:15
twin someone more by axis that means02:31:17
that these variables are equal and the02:31:21
exponents are equal, it is already noticeable02:31:23
notable now that it is true that 3 among02:31:27
13 among ones you are equal to three02:31:31
employees and st this triangle that02:31:34
represents the number of eternals that is,02:31:37
when I develop this I They are going to02:31:41
leave by the terms it is three months02:31:44
before since he delivered divided02:31:49
twelve into three and of us02:31:54
it is equal to who a 4 n minus 3 on02:31:59
who02:32:00
m2 and now they will come you are going to operate it we are02:32:04
not going to apply it and 2202:32:06
arithmetic guys like this we are going to subtract02:32:09
antecedents and subtract consequents this02:32:13
valid and subtract the minus he subtracting02:32:16
these data and have subtract and put to 01202:32:21
more subtract less it converts more 12 3 1502:32:25
15 to02:32:26
dominica02:32:29
so that when you study you already02:32:32
have it from arcos latorre this cata I02:32:34
rest it no longer subtracted nm 28 subtracting with02:32:39
who with the 29 and here the result02:32:43
here is the same as any of them well02:32:49
302:32:56
canceled barceló 12 315 that is, we are going to02:33:01
fly this so that you can see what you02:33:03
imagine02:33:05
what will be left is this is going to be02:33:07
that the answer is 15 1502:33:13
because it comes out 15 for the next level02:33:17
less for less more 23 15 and 15 to 1502:33:22
over below choose it is canceled this is 902:33:27
minus 81 that's it look boy02:33:30
be aware be aware that I told you02:33:32
that this was instead of external the02:33:34
consequent was the number of tenerife02:33:37
that with the number of02:33:39
terms is preferred therefore 92 can be the02:33:41
quotient as it is conscious and also just in02:33:44
case what applied is this if02:33:47
you have a half equal to two02:33:50
young quarters and says arithmetic cannot02:33:52
subtract decent and can subtract02:33:54
consequent having subtracted at least one of02:33:57
the02:33:58
224 equal who to any02:34:05
- 1202:34:09
true false02:34:13
those guys can be with him him with02:34:17
him and the result linked to any02:34:19
of the levels and now It turned out well when they are there it02:34:22
has 15 302:34:25
15 15 from the post02:34:34
question02:34:42
we delete the question it was direct direct02:34:47
and we have applied02:34:49
to mathematics guys in mathematics02:34:56
when02:35:02
very long you do not realize that very02:35:05
complicated02:35:07
yes of course very complicated and I have to02:35:10
look for a method Well, as quickly as02:35:13
possible and another question that they told me02:35:16
what it was and02:35:21
there is a further question there02:35:23
is a correction in number 2502:35:26
young people have tried number 25 that they tell02:35:29
the kids is the correction nail that02:35:32
is in the first term it should come out 302:35:36
no more no one should not leave any of02:35:39
them we do it question 2502:35:41
[Music]02:35:44
what do the kids say they say02:35:48
but02:35:51
as02:35:54
you say in the edition 2502:35:58
the majority says02:36:00
25 and 25 and to the extent we are going to correct02:36:05
the addiction the 25 of the only correction02:36:07
now with that question I have to02:36:10
say goodbye young people we are going to do the 2502:36:13
the correction so that they do not stay with02:36:16
the02:36:17
[Music]02:36:21
now 25 25 and the question 25 I am going to02:36:26
tell you where the error is I told you02:36:31
the duck what it is z202:36:58
since to do it if you02:37:03
want under variable change you want02:37:05
well this is conjugate02:37:08
and this is like a b02:37:11
this is common02:37:14
and this is like a 20 so I02:37:17
have I have like this when you have one more go02:37:21
squared02:37:23
no more one less than the square It is now and02:37:27
young people it is the same here in 8 it is already 802:37:32
this climate and it is like water and the02:37:34
contest like who very professor the Celtic02:37:37
is the gazette recipe already then he left it02:37:42
as a week plus the team came to02:37:46
appear 202:37:51
so that the 8 I'm going to write it02:37:54
as 4 by 2 what do you think?02:37:59
4202:38:06
there are02:38:08
guys02:38:10
with the change the change since what02:38:15
I'm doing with the change I'm02:38:17
managing to apply dialogues to make it02:38:19
faster02:38:21
is to take square by square meter and02:38:24
get 44 you have02:38:29
10 12 and 2002:38:34
I like what is nice square more02:38:36
or less 415 the birds02:38:44
and that's what it's called has a name02:38:49
and tell me what the name of that legend is02:38:52
legendre you will remember legend more02:38:55
than four to two more or less b square02:38:57
this homeless guys now if you don't02:38:59
remember the development of a problem and02:39:02
so you don't repeat it you develop it here02:39:05
you're just going to get water when it's02:39:07
going to come out every month you've played02:39:09
marijuana like this it turns out well for you guys a02:39:13
guaraní from Paraguay and storm development02:39:15
twice there02:39:21
are 24 to02:39:25
48 and I count 4 by 2 so that they are02:39:29
distributed02:39:35
through already young people who happened here half a02:39:39
half half a half would be square from02:39:43
square is equal to who02:39:45
knows how to02:39:48
subtract and you realize that these guys02:39:52
it's a depression at least baby square02:39:56
exactly what is shown to be02:40:00
equal to tea because this equaled it to02:40:03
zero because of zero02:40:07
like that but it's already who is in said02:40:12
team yesterday with magnet 10 which is equal02:40:15
to02:40:17
gp202:40:20
now we are going to replace This age02:40:22
used to start and the third02:40:26
impression and here is an expression that02:40:28
says here let's go02:40:31
because what they ask of me is they ask me and I02:40:35
give myself to the human being02:40:38
let's go to the third reaction and the third02:40:42
option the third nation and it is estimated and02:40:44
now I imagined when it comes out here I'm02:40:47
going to put it here I'm going to put it a02:40:49
little side there it would be 102:40:52
one that we are going to perform each action02:40:54
each version compared to the fact that in the last02:40:58
turn02:41:04
there were about two statuses already when you said02:41:09
this it is obvious it is not processed at the cube02:41:14
over 12 so one comes out and02:41:19
now he says that the cube is over the02:41:25
contest the x to the cube do the same02:41:28
let's see it02:41:36
236 what do you think02:41:39
12-13 z now look for z -02:41:43
leaving02:41:47
the zetas is and they keep zeta -02:42:09
demonstrate that in the02:42:12
other one one should also appear now but we have02:42:15
to fix it we have to fix it so we are02:42:17
going to delete we are going to delete the other02:42:21
two review and fix it it's fine now02:42:25
because as it is it's not going to come out02:42:27
well there we have to fix it no matter how02:42:31
much If you try hard, you02:42:33
won't be able to because there is a correction and02:42:36
when you use the one that when there is a connection02:42:38
and it is not corrected then it doesn't come out because02:42:43
102:42:48
[Music]02:42:52
and there we are going to stay kids outside02:42:56
like crazy cinema but they have understood me02:42:58
now after the teacher I'm going to02:43:02
comment to you02:43:07
then02:43:08
[Music]02:43:10
I was explaining slowly to the magician and02:43:14
they rejected so that you understand as I02:43:16
just had class I still don't know the02:43:19
level of each student I don't know I don't know02:43:22
the level yet that's why I actually slow down02:43:24
slowly and he refers to repeating several02:43:27
times because I still don't know exactly02:43:29
his level we are02:43:32
no longer going to win guys now02:43:35
correction let's see what the correction is02:43:37
that we are going to make02:43:40
the third fraction is to the yogurt not the02:43:42
second fraction also one calls02:43:45
with the third time they say that They have02:43:48
the third fraction02:43:50
and to the third fraction it says like this there is no02:43:52
question 25 the02:43:56
first reaction does not say it is x02:44:14
see02:44:16
7 - 10 and also looking for here02:44:21
there are also 302:44:24
these people are already going to be that it would be02:44:28
x or zeta02:44:29
so it should be02:44:32
the correction young people here it should be x02:44:36
- m we delete02:44:39
we delete and you put when it is02:44:43
now that now it would be because02:44:48
otherwise they are not enough anymore it should not mean it means02:44:53
being like that it says that it02:44:56
is the same as it is called it is wanted it02:45:01
is less good and here it is going to02:45:03
subtract minus 10 you are going to be in the first02:45:06
set now singles02:45:08
with him they are the same with that the same when02:45:11
one is left therefore what they ask you02:45:14
which first fraction 1 second02:45:18
fraction 1 third fraction 1 when02:45:21
three guys should come out02:45:24
then there are no things that are not like that well02:45:26
the ones should be you have to02:45:28
eliminate the one now and putting three is the02:45:31
only correction to make it clear02:45:33
guys this here we are going to finish02:45:41
everything well young people we have already concluded we02:45:44
have solved the greatest amount02:45:48
of course it must be like this clear02:45:52
here there it comes out boy there it comes out yes02:45:55
yes02:45:56
look boy02:45:59
we came to [ __ ] we are going to give and the02:46:02
boy has not done this verbal way02:46:03
with the chalk that I have left is x-ray02:46:08
juice02:46:15
the boy02:46:21
m02:46:25
juan 3 elisa k just as the02:46:34
x 12 is02:46:39
fine, 12 is less02:46:43
and less correct and cubed there it02:46:47
seemed like a collection but it was not best02:46:49
miranda zeta02:46:52
cubed02:46:54
our air skill also in 201202:46:57
is less than 210 perfect and elevate some02:47:03
and he tells me when he comes out to see me and he tells me02:47:07
how much it costs me here there is also 8 no02:47:10
actually guys if there is an answer yes02:47:13
very good with we finish we will fix02:47:15
correction correction okay we are02:47:18
done then we do the 10002:47:21
nothing to finish the question02:47:25
and then how are they using me this02:47:28
is what they say it's been conscious and here02:47:31
because the boy said02:47:59
Maybe if it's a friend it seemed like it didn't work out02:48:02
but yes you02:48:04
also take out the two you take out the 2 and02:48:09
raise it until it would be two files02:48:12
because zp the guides had the drawer a02:48:17
little patience02:48:18
already about alliance mushrooms already when I02:48:23
knew Frankfurt yes and at02:48:25
88 In the other one that came out one and the other02:48:28
one would be the answer ten there will be ten02:48:31
boys now if not the July boy02:48:35
effect 10 high very good young people thank you02:48:38
for your ability to be a child02:48:41
well02:48:45
first I get 8 the second I get one02:48:49
and the third I get one, therefore the02:48:52
answer 10 already seemed like it was due to02:48:54
pressure but it was not like that, he has shown it02:49:01
and then we are going to leave it there there02:49:10
is maybe thanks young man thanks to02:49:13
this answer 10 clear and also the02:49:16
idea of Marcos thanks Marcus perfect02:49:19
perfect it seemed that the correction is02:49:21
all good guys what the young people say02:49:23
very good job then we are going to stay02:49:27
yes well no the young man02:49:31
that correction yet and so we all02:49:36
help each other the important thing is to learn02:49:38
together guys we can have02:49:51
well guys we02:49:53
thank teacher rubén darío of the02:49:55
algebra course and also guys we02:49:58
thank you for your presence02:50:01
good to continue studying guys and02:50:04
see you tomorrow which guys02:50:06
blessings to each of you I02:50:08
say goodbye bye 'luisito' to continue02:50:11
studying it and please prepare for02:50:13
your thirst For your exam,02:50:15
maybe, take care of yourself,02:50:18
son, study, study,02:50:21
please don't forget to see Alexandra, see you02:50:24
until tomorrow,02:50:26
Alexandra,02:50:27
goat, Leonardo02:50:31
Juniors, Jorgito Navarro,02:50:34
take care, guys, see you02:50:37
tomorrow,02:50:47
tired guys.Description:
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