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Olympiad Math hexic Equation |Tricks of Solving (x+1)^6=64 | Solving Olympiad Algebra Challenge

Пікірлер: 13

  • @mircoceccarelli6689
    @mircoceccarelli66894 ай бұрын

    👍👍👍

  • @anderlecht1969
    @anderlecht19693 ай бұрын

    Nice one. You are a good teacher.

  • @superacademy247

    @superacademy247

    3 ай бұрын

    Thank you! 😃

  • @sambhavkhandelwal6470
    @sambhavkhandelwal64704 ай бұрын

    simple method: (x+1)^6 = 2^6 When the exponent is equal, the bases are equal x+1 = 2 and x+1 = -2 x = 1 and -3

  • @michaelhuppertz6738

    @michaelhuppertz6738

    Ай бұрын

    This way you only get the real solutions only, you cannot get the complex solutions with this approach.

  • @mehmethancicek3372
    @mehmethancicek33724 ай бұрын

    Thanks

  • @superacademy247

    @superacademy247

    4 ай бұрын

    Welcome

  • @yuusufliibaan1380
    @yuusufliibaan13804 ай бұрын

    ❤❤❤ thanks 💯💯💯

  • @superacademy247

    @superacademy247

    4 ай бұрын

    Welcome 😊

  • @dasliebesgluckprinzip9635
    @dasliebesgluckprinzip96352 ай бұрын

    2^6=64 X+1=2 Rest is simpel

  • @user-kp2rd5qv8g
    @user-kp2rd5qv8g4 ай бұрын

    Let z = (x+1)/2. Then, z^6 = 1. So, z = e^(2 pi i n/6) = e^(i pi n/3), n = 0,1,2,3,4,5. So, z = 1, 1/2[ 1 + sqrt(3)i], 1/2[ -1 + sqrt(3)i], -1, - 1/2[ 1 + sqrt(3)i], 1/2[ 1 - sqrt(3)i]. Thus, x = 2z-1 = 1, sqrt(3) i, -2 + sqrt(3)i, -3, -2 - sqrt(3) i, -sqrt(3)i.