This channel is to help College and High school students master essential math skills in order to be ready for higher mathematics . I present and solve select questions in each video.
Man! I really like your enthusiasm....😊....wish i had more teachers like you..... keep teaching like this.... again thanks a lot for this knowledge.......and the answer is 16....😊
@user-yb2sf8gx9y52 минут бұрын
simplicity makes maths nice
@c15harshraj56Сағат бұрын
Solve jee advanced( entrance exam in india) questions are really good , will surely boost ur interest in mathematics 😶
@c15harshraj56Сағат бұрын
💚 from india
@holyshit922Сағат бұрын
4:38 Here we have Vieta formulas so we can easily write quadratic with roots x and y
@user-jm5rj4sv7iСағат бұрын
the future i seen it
@0day450Сағат бұрын
thank you sir for save my life!
@AryanKumar-vo1icСағат бұрын
nice prob
@Phelps393Сағат бұрын
I love Math but school just discourages me from solving problems as we are , in a way , forced to cram shit for the exams.
@suleimanbashir-wh2km2 сағат бұрын
Sir plz help me this question Find the Limit of Lim tan7x/14x as x tends to 0
@surendrakverma5552 сағат бұрын
Very good. Thanks 🙏
@LaCodileClimbing2 сағат бұрын
54321 =125-5
@daddykhalil9093 сағат бұрын
7:48 where from did you get this “by inspection” genial idea??? I consider similar methods which are similar to trial-and-error methods as a weak approach, being illogical and cheap
@Pachankapatro3 сағат бұрын
If i would've found you when i did my bachelors i would've been very happy
@legendarybalak91414 сағат бұрын
Just some more shit why do you even need that
@aidan-ator78444 сағат бұрын
I only would have gotten to the stage where a>absolute b😢
@lukaskamin7554 сағат бұрын
Sorry, but I don't see a problem with D=0, x would remain positive (a²+b²)/(4a²) . Why was this case excluded? Maybe the variables wouldn't not be dustinct, but it's not obvious so far
@sad.tune.4 сағат бұрын
Juice WRLD teaching maths😭😭
@lukaskamin7554 сағат бұрын
11:39 could you explain how you made factoring mentally? Did you use the cross method (I've heard of it, though we have not learnt that at school where I live)
@lukaskamin7554 сағат бұрын
I believe you overlooked a difference of 2 squares in the discriminant, you would get factorisation with less effort. Also I'm curious when it happens to solving equations x+y=S, xy=P, people on English KZread start from non-linear equation xy, thus getting a rational function that is to be fought heroically later on , while it's much easier to start from linear equation x+y, not causing any denominator to appear in the course of the solution?😮
@Animation_with_ss5 сағат бұрын
16....thanks sir for great explaination,love from indian🤗
@okemefulachidera54405 сағат бұрын
It’s quite an interesting maths but at the end I got confused😂
@robertpearce83944 сағат бұрын
x,y, and z greater than zero was stated as a condition. However, that is what was supposed to be proved.
@DebelaFikadu-fn4wi5 сағат бұрын
Thanks for ever ❤
@Scienceguy06 сағат бұрын
Nice ❤
@rnhettema23596 сағат бұрын
At the end you could only conclude x, y and z are not all the same, but what about x=y and x=z
@deriklytten5 сағат бұрын
From the condition xy = z^2, if any two of them are equal, it will imply all 3 are equal...
@rnhettema23594 сағат бұрын
@@deriklytten thanks for the explaination
@aidan-ator78444 сағат бұрын
@@deriklyttenvery thankful for pointing that out.🎉
@marcelojabuti36196 сағат бұрын
Fake Math Eddie Murphy😂😂😂😂
@josephubi90966 сағат бұрын
16, never learnt this and I am a mechanical engineering graduate
@kassuskassus62636 сағат бұрын
Sir, you are really the Rambo of the mathematics ! 🤗🤗🤗
@franolich37 сағат бұрын
None of the proofs given so far explain where the sqrt(3) comes from. The following approach gives some insight... Lemma: ab + bc + ca ≤ a^2 + b^2 + c^2 with equality iff a=b=c Proof: ab + bc + ca ≤ a^2 + b^2 + c^2 <=> a^2 + b^2 + c^2 - ab - bc - ca ≥ 0 <=> 2a^2 + 2b^2 + 2c^2 - 2ab - 2bc - 2ca ≥ 0 <=> (a^2 - 2ab + b^2) + (b^2 - 2bc + c^2) +(c^2 - 2ca + a^2) ≥ 0 <=> (a-b)^2 + (b-c)^2 + (c-a)^2 ≥ 0 This last statement clearly holds since the LHS is the sum of non-negative terms. Further, LHS=0 iff a=b=c Theorem: Let T be the area of a triangle with sides a,b,c. Then 4.sqrt(3).T ≤ a^2 + b^2 + c^2 with equality iff the triangle is equilateral. Proof: By Heron's formula: T = sqrt(s(s-a)(s-b)(s-c)) where s = (a+b+c)/2 => T^2 / s = (s-a)(s-b)(s-c) => (T^2 / s)^(1/3) = ((s-a)(s-b)(s-c))^(1/3) Using the triangle inequality, it is easy to show that (s-a), (s-b) and (s-c) are non-negative. Therefore one can apply AM-GM: (T^2 / s)^(1/3) ≤ ((s-a) + (s-b) + (s-c)) / 3 = s/3 with equality iff (s-a)=(s-b)=(s-c) ie a=b=c => T^2 / s ≤ s^3 / 27 => T ≤ s^2 / 3.sqrt(3) => 4.sqrt(3).T ≤ (a+b+c)^2 / 3 => 4.sqrt(3).T ≤ (a^2+b^2+c^2 + 2(ab+bc+ca)) / 3 By the lemma: => 4.sqrt(3).T ≤ (a^2+b^2+c^2 + 2(a^2+b^2+c^2)) / 3 => 4.sqrt(3).T ≤ a^2 + b^2 + c^2 with equality iff a=b=c, ie an equilateral triangle.
@robot83247 сағат бұрын
I really like the way you are explaining those problems , thnak you
@johnsound17787 сағат бұрын
I love this guy.....Thank you very much💚
@panagiotisvlachos61147 сағат бұрын
A whole blackboard, in which the solution of the problem is included: THESE ARE PURE MATHEMATICS!!🤪 Good day from Greece!!
@cureyourcuriosity21327 сағат бұрын
41 seconds ago...First
@user-hr6ex6np7t7 сағат бұрын
First view and comment!!!
@NightCraft-17 сағат бұрын
What?
@user-ie2cy6kc3t7 сағат бұрын
Oh…thanks so much 😭🤍🤍
@AadiSrivastava-sp9zn8 сағат бұрын
is it important to say that x = K + d (where d ≥ 0 )
@AadiSrivastava-sp9zn8 сағат бұрын
because i solved it without doing that and got my answer
@AdityaSingh.9628 сағат бұрын
2^2^2= 2^4= 16
@user-ts8rc7cn1r8 сағат бұрын
thanks a lot will smith😊
@omograbi8 сағат бұрын
This channel has turned into a witchcraft one that summons beasts
@ELITEDRAGONYT8 сағат бұрын
This guy needs more popularity truly underrated
@masscreationbroadcasts8 сағат бұрын
That intro looking like a teaser ☠️
@amirrozenmanmalach37718 сағат бұрын
Whats a tens digit
@boringextrovert67194 сағат бұрын
Second digit from the right
@user-es8yj8eq3k9 сағат бұрын
Hello teacher Ask for an exercise lim x_a sinx-sina/cosx-cosa
Пікірлер
Who is he? Fantastic!
i can slove this problem 1 minute
Very helpful
Great... Very focused presentation.
Man! I really like your enthusiasm....😊....wish i had more teachers like you..... keep teaching like this.... again thanks a lot for this knowledge.......and the answer is 16....😊
simplicity makes maths nice
Solve jee advanced( entrance exam in india) questions are really good , will surely boost ur interest in mathematics 😶
💚 from india
4:38 Here we have Vieta formulas so we can easily write quadratic with roots x and y
the future i seen it
thank you sir for save my life!
nice prob
I love Math but school just discourages me from solving problems as we are , in a way , forced to cram shit for the exams.
Sir plz help me this question Find the Limit of Lim tan7x/14x as x tends to 0
Very good. Thanks 🙏
54321 =125-5
7:48 where from did you get this “by inspection” genial idea??? I consider similar methods which are similar to trial-and-error methods as a weak approach, being illogical and cheap
If i would've found you when i did my bachelors i would've been very happy
Just some more shit why do you even need that
I only would have gotten to the stage where a>absolute b😢
Sorry, but I don't see a problem with D=0, x would remain positive (a²+b²)/(4a²) . Why was this case excluded? Maybe the variables wouldn't not be dustinct, but it's not obvious so far
Juice WRLD teaching maths😭😭
11:39 could you explain how you made factoring mentally? Did you use the cross method (I've heard of it, though we have not learnt that at school where I live)
I believe you overlooked a difference of 2 squares in the discriminant, you would get factorisation with less effort. Also I'm curious when it happens to solving equations x+y=S, xy=P, people on English KZread start from non-linear equation xy, thus getting a rational function that is to be fought heroically later on , while it's much easier to start from linear equation x+y, not causing any denominator to appear in the course of the solution?😮
16....thanks sir for great explaination,love from indian🤗
It’s quite an interesting maths but at the end I got confused😂
x,y, and z greater than zero was stated as a condition. However, that is what was supposed to be proved.
Thanks for ever ❤
Nice ❤
At the end you could only conclude x, y and z are not all the same, but what about x=y and x=z
From the condition xy = z^2, if any two of them are equal, it will imply all 3 are equal...
@@deriklytten thanks for the explaination
@@deriklyttenvery thankful for pointing that out.🎉
Fake Math Eddie Murphy😂😂😂😂
16, never learnt this and I am a mechanical engineering graduate
Sir, you are really the Rambo of the mathematics ! 🤗🤗🤗
None of the proofs given so far explain where the sqrt(3) comes from. The following approach gives some insight... Lemma: ab + bc + ca ≤ a^2 + b^2 + c^2 with equality iff a=b=c Proof: ab + bc + ca ≤ a^2 + b^2 + c^2 <=> a^2 + b^2 + c^2 - ab - bc - ca ≥ 0 <=> 2a^2 + 2b^2 + 2c^2 - 2ab - 2bc - 2ca ≥ 0 <=> (a^2 - 2ab + b^2) + (b^2 - 2bc + c^2) +(c^2 - 2ca + a^2) ≥ 0 <=> (a-b)^2 + (b-c)^2 + (c-a)^2 ≥ 0 This last statement clearly holds since the LHS is the sum of non-negative terms. Further, LHS=0 iff a=b=c Theorem: Let T be the area of a triangle with sides a,b,c. Then 4.sqrt(3).T ≤ a^2 + b^2 + c^2 with equality iff the triangle is equilateral. Proof: By Heron's formula: T = sqrt(s(s-a)(s-b)(s-c)) where s = (a+b+c)/2 => T^2 / s = (s-a)(s-b)(s-c) => (T^2 / s)^(1/3) = ((s-a)(s-b)(s-c))^(1/3) Using the triangle inequality, it is easy to show that (s-a), (s-b) and (s-c) are non-negative. Therefore one can apply AM-GM: (T^2 / s)^(1/3) ≤ ((s-a) + (s-b) + (s-c)) / 3 = s/3 with equality iff (s-a)=(s-b)=(s-c) ie a=b=c => T^2 / s ≤ s^3 / 27 => T ≤ s^2 / 3.sqrt(3) => 4.sqrt(3).T ≤ (a+b+c)^2 / 3 => 4.sqrt(3).T ≤ (a^2+b^2+c^2 + 2(ab+bc+ca)) / 3 By the lemma: => 4.sqrt(3).T ≤ (a^2+b^2+c^2 + 2(a^2+b^2+c^2)) / 3 => 4.sqrt(3).T ≤ a^2 + b^2 + c^2 with equality iff a=b=c, ie an equilateral triangle.
I really like the way you are explaining those problems , thnak you
I love this guy.....Thank you very much💚
A whole blackboard, in which the solution of the problem is included: THESE ARE PURE MATHEMATICS!!🤪 Good day from Greece!!
41 seconds ago...First
First view and comment!!!
What?
Oh…thanks so much 😭🤍🤍
is it important to say that x = K + d (where d ≥ 0 )
because i solved it without doing that and got my answer
2^2^2= 2^4= 16
thanks a lot will smith😊
This channel has turned into a witchcraft one that summons beasts
This guy needs more popularity truly underrated
That intro looking like a teaser ☠️
Whats a tens digit
Second digit from the right
Hello teacher Ask for an exercise lim x_a sinx-sina/cosx-cosa