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[@ernestdecsi5913]

Nice solution. I wouldn't have thought that multiplying by 2 could work such "miracles" :-)

[@mks-learning-easy]

Thank you 😊

[@renesperb]

Here the only question is : is the obvious solution x = 0 the only one ?

[@juancarlossanchezveana1812]

Amazing

[@QuentinStephens]

x = 0 is a trivially obvious solution. But you are not demonstrating that there are no complex solutions.

[@paolomarchesoni]

It's obviously zero

[@andreaparma7201]

But it's not obvious that there are no other solutions

[@damianolaurendi]

​​@@andreaparma7201but you can prove it simply by asserting that all functions added in the first equation are monotonic increasing (or decreasing). Therefore their sum is still a monotonic function which is passed by a straight horizontal line (y=1) only in one point (one solution).

[@andreaparma7201]

@@damianolaurendi it's not always true that a sum of monotonic functions is monotonic (unless they are all increasing or all decreasing). Indeed, if you plot that function with wolframalpha, you'll see that it has a local maximum at x=0.

[@damianolaurendi]

@@andreaparma7201 my bad then :D

[@Ali-nf4ox]

It’s obviously zero, but is it obviously the only solution?!

[@NoOne-ki9os]

Your handwriting is so nice 😊

[@corvanjer]

Looks great, one critique for the videos , is it ok to show the initial equation at the end with the solution, and maybe with the substitution for x.

[@ritwikgupta3655]

0 was obvious but proving it was tricky. Setting up a sum of three squares was smart. Zamir, Imaginary exponent of a positive integer does not give a negative I think?

[@anatolykatyshev9388]

Really nice! Make two variables instead one and solve - is non standard idea!

[@Dionisi0]

What about the imaginary solutions

[@TapanDas-ei3lw]

I am really stunned ❤❤❤

[@vuyyurisatyasrinivas3849]

Iit jee advanced problem....good solution

[@mks-learning-easy]

Thank you 😊

[@krishnavrsg845]

If you know the simple fact that any number raised to the power of zero is one, this becomes simple.

[@francescomartino6616]

👍👍❤

[@user-ow1fs8et9l]

Regular exercise in Russian school program

[@bishtkunal10]

This question has an oral solution, and u r right it's 0

[@NitinSingh-hg7md]

Can you explain the step in which you put the equation equal to 0 ? I mean The step just after you write your perfect square.

[@tolgakabacasamala]

If the sum of the expressions, which every unique one has to be greater than or equal to 0, is zero, then every unique one must be 0.

[@matiasgualco905]

0 si x=0 todos los terminos dan 1 y habria 3 positivos y 2 negativos 3-2=1

[@drmjruff]

This is a test of innate ability. Recognizing the "trick" was the test. X=0. No paper or pencil.

[@Stresss70]

Сразу подставил 0

[@user-dq3uh6ee5w]

0.

[@paulojosecoelho8828]

Óbvio que é 1, mas a resolução é linda! Parabéns!!

[@lolserm]

Dude you could have solve that in just one line. The obvious answer from the beginning was x=0

[@shashvat1879]

Me with value putting 🗿

[@user-ub8wj3pc4w]

Задача для устного счёта

[@user-iw2zn2mj3c]

Можно не решать. И так очевидно

[@dinaris84]

0:30 я думал, еще раз перепишет пример)))

[@SungSam-vf4oz]

X = 0

[@mgabiel]

X=0 me tomó 1/4 de segundo

[@kailasamraja8808]

Congrats. It is not the question of time required to solve. The author demonstrates the sequential steps in attempting the question. Suppose that the question has 10 Mark's. If you write the answer as x = 0 in one line, you will get only one mark perhaps. I am kidding dear. Take it as a fun.

[@billtruttschel]

Great. The bases are irrelevant. 14^x+25^x-27.3^x+pi^x-e^x=1 has the same solution, x=0.

[@jajajaxdxdxd123]

The bases are relevant. Your equation has 2 solutions, the one in the video only one

[@PJR1988]

It's wrong, you cannot say (a-b)^2 >=0 (also it's not possible assume that for the others) you are missing the complex space with this assumtion and it only worksbin this particular case, propper way is using logaritms

[@FerdousiIslam-wi4ep]

No, both logarithm and this method is right. The formula is: a^2+b^2+c^2+....+n^2=0 if and only if: a=0, b=0, c=0 and n=0.

[@TapanDas-ei3lw]

Think,it's a story writing

[@nahideipekcioglu7552]

Türkiye de bundan daha zorunu 2dk da çözmeniz gerekiyor. Bu sorunun cevabının 1 olduğu da çok açık 🤷‍♀️ Neden bunca işlem.

[@phonixausderasche538]

x = 0 ist a trivial result!

[@jamesholden4571]

X = 0 --- 1+1-1+1-1 = 1 Took one second. Edited - big thumbs LOL

[@pietergeerkens6324]

The problem is not in finding the solution, but in proving it's the only solution.

[@jim2376]

Take a look at your post again. You might want to make a small edit.

[@jc229120957270966773]

Log everything and x*log(36)/log36=0 so x=0

[@jim2376]

By inspection x = 0

[@MsMadcap]

Simplest solution is 0

[@petrushkamagic_2469]

можно было записать всё с виде 2^x черёд логорифмы и тупую решить

[@user-ko6et2kk1j]

Perhaps x=0

[@user-xn6nd9hy5o]

Cero

[@user-iw2zn2mj3c]

О

[@user-qy8re3yx3d]

x=0.Можно логически обосновать, что x не положительно и x не отрицательно.

[@vinayseth5899]

05:33 Why are these "perfect squares" though?

[@numbers93]

I think they simply meant squares here. Not necessarily perfect squares (as in squares of integers)

[@richardmartinez2524]

0

[@PetualangIman]

To long answer.

[@user-zo6gq7pt7g]

Doesnt tally it comes 2

[@user-dl2nl3ty4r]

2² + 3² - 4² + 6² - 9² = -48 ???

[@angeloclemente9447]

Ovviamente zero

[@michaelyap939]

0.. why bother?

[@mbclsshorts]

It is 0 /zero/, if you can’t figure out this you are probably missing your elementary school class.

[@user-ki9fe1nj3z]

X =0