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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 ?

[@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.

[@juancarlossanchezveana1812]

Amazing

[@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

[@bijendrakumar4528]

6^x=3^x/2×2^x/2 is right and 6^x=3^x*2^x is not right

[@anatolykatyshev9388]

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

[@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

[@jim2376]

By inspection x = 0

[@paulojosecoelho8828]

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

[@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.

[@dinaris84]

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

[@MsMadcap]

Simplest solution is 0

[@phonixausderasche538]

x = 0 ist a trivial result!

[@QuentinStephens]

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

[@user-xn6nd9hy5o]

Cero

[@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.

[@user-zo6gq7pt7g]

Doesnt tally it comes 2

[@user-dl2nl3ty4r]

2² + 3² - 4² + 6² - 9² = -48 ???

[@richardmartinez2524]

0

[@user-ki9fe1nj3z]

X =0

[@user-qy8re3yx3d]

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

[@mbclsshorts]

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