Korean -Math Olympiad problem|Solve for x

2024 ж. 20 Сәу.
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A nice math Olympiad question#math #matholympiad
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Пікірлер
  • If you know the simple fact that any number raised to the power of zero is one, this becomes simple.

    @krishnavrsg845@krishnavrsg8454 күн бұрын
  • Amazing

    @juancarlossanchezveana1812@juancarlossanchezveana181217 күн бұрын
  • Nice solution. I wouldn't have thought that multiplying by 2 could work such "miracles" :-)

    @ernestdecsi5913@ernestdecsi591323 күн бұрын
    • Thank you 😊

      @mks-learning-easy@mks-learning-easy22 күн бұрын
  • Here the only question is : is the obvious solution x = 0 the only one ?

    @renesperb@renesperb14 күн бұрын
  • Your handwriting is so nice 😊

    @NoOne-ki9os@NoOne-ki9os5 күн бұрын
  • 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.

    @corvanjer@corvanjer11 күн бұрын
  • x = 0 is a trivially obvious solution. But you are not demonstrating that there are no complex solutions.

    @QuentinStephens@QuentinStephens12 күн бұрын
  • 👍👍❤

    @francescomartino6616@francescomartino66166 күн бұрын
  • It's obviously zero

    @paolomarchesoni@paolomarchesoniАй бұрын
    • But it's not obvious that there are no other solutions

      @andreaparma7201@andreaparma720115 күн бұрын
    • ​​@@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).

      @damianolaurendi@damianolaurendi14 күн бұрын
    • @@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.

      @andreaparma7201@andreaparma720114 күн бұрын
    • @@andreaparma7201 my bad then :D

      @damianolaurendi@damianolaurendi13 күн бұрын
    • It’s obviously zero, but is it obviously the only solution?!

      @Ali-nf4ox@Ali-nf4ox6 күн бұрын
  • Really nice! Make two variables instead one and solve - is non standard idea!

    @anatolykatyshev9388@anatolykatyshev938819 күн бұрын
  • What about the imaginary solutions

    @Dionisi0@Dionisi04 күн бұрын
  • I am really stunned ❤❤❤

    @TapanDas-ei3lw@TapanDas-ei3lw6 күн бұрын
  • Óbvio que é 1, mas a resolução é linda! Parabéns!!

    @paulojosecoelho8828@paulojosecoelho882810 күн бұрын
  • Perhaps x=0

    @user-ko6et2kk1j@user-ko6et2kk1j2 күн бұрын
  • Задача для устного счёта

    @user-ub8wj3pc4w@user-ub8wj3pc4w6 күн бұрын
  • 0:30 я думал, еще раз перепишет пример)))

    @dinaris84@dinaris8412 күн бұрын
  • можно было записать всё с виде 2^x черёд логорифмы и тупую решить

    @petrushkamagic_2469@petrushkamagic_24694 күн бұрын
  • Türkiye de bundan daha zorunu 2dk da çözmeniz gerekiyor. Bu sorunun cevabının 1 olduğu da çok açık 🤷‍♀️ Neden bunca işlem.

    @nahideipekcioglu7552@nahideipekcioglu75528 күн бұрын
  • This is a test of innate ability. Recognizing the "trick" was the test. X=0. No paper or pencil.

    @drmjruff@drmjruffКүн бұрын
  • Cero

    @user-xn6nd9hy5o@user-xn6nd9hy5o11 күн бұрын
  • By inspection x = 0

    @jim2376@jim237611 күн бұрын
  • X = 0

    @SungSam-vf4oz@SungSam-vf4ozКүн бұрын
  • To long answer.

    @PetualangIman@PetualangIman5 күн бұрын
  • 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.

    @NitinSingh-hg7md@NitinSingh-hg7md25 күн бұрын
    • 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.

      @tolgakabacasamala@tolgakabacasamala22 күн бұрын
  • x = 0 ist a trivial result!

    @phonixausderasche538@phonixausderasche53810 күн бұрын
  • Simplest solution is 0

    @MsMadcap@MsMadcap10 күн бұрын
  • Think,it's a story writing

    @TapanDas-ei3lw@TapanDas-ei3lw6 күн бұрын
  • Log everything and x*log(36)/log36=0 so x=0

    @jc229120957270966773@jc229120957270966773Күн бұрын
  • 0

    @richardmartinez2524@richardmartinez252413 күн бұрын
  • x=0.Можно логически обосновать, что x не положительно и x не отрицательно.

    @user-qy8re3yx3d@user-qy8re3yx3d20 күн бұрын
  • X = 0 --- 1+1-1+1-1 = 1 Took one second. Edited - big thumbs LOL

    @jamesholden4571@jamesholden457121 күн бұрын
    • The problem is not in finding the solution, but in proving it's the only solution.

      @pietergeerkens6324@pietergeerkens632412 күн бұрын
    • Take a look at your post again. You might want to make a small edit.

      @jim2376@jim237611 күн бұрын
  • Great. The bases are irrelevant. 14^x+25^x-27.3^x+pi^x-e^x=1 has the same solution, x=0.

    @billtruttschel@billtruttschel14 күн бұрын
    • The bases are relevant. Your equation has 2 solutions, the one in the video only one

      @jajajaxdxdxd123@jajajaxdxdxd12313 күн бұрын
  • Ovviamente zero

    @angeloclemente9447@angeloclemente94478 күн бұрын
  • Doesnt tally it comes 2

    @user-zo6gq7pt7g@user-zo6gq7pt7g21 күн бұрын
    • 2² + 3² - 4² + 6² - 9² = -48 ???

      @user-dl2nl3ty4r@user-dl2nl3ty4r19 күн бұрын
  • It is 0 /zero/, if you can’t figure out this you are probably missing your elementary school class.

    @mbclsshorts@mbclsshorts11 күн бұрын
  • X =0

    @user-ki9fe1nj3z@user-ki9fe1nj3z22 күн бұрын
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