Japanese | Can you solve this ? | A Nice Olympiad Algebra Problem

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Пікірлер: 13

  • @mariosanagnostou3298
    @mariosanagnostou32984 ай бұрын

    it's more simple if you observe that a-b=1 then you know (a-b)^2=1 and you have a^3-b^3=1 . Finally you find ab=0. The next is simple

  • @murvetaykac7041
    @murvetaykac70412 ай бұрын

    You told that solition very well.Thank you.

  • @user-ee7nw2rx9s

    @user-ee7nw2rx9s

    Ай бұрын

    Если умножить на знаменатель, то не надо возиться с дробями

  • @user-ee7nw2rx9s
    @user-ee7nw2rx9sАй бұрын

    Если присмотреться то если из первого числителя отнять второй равно знаменателю, это не зря

  • @maksymkorinnyi7576
    @maksymkorinnyi75764 ай бұрын

    Eksi....😂

  • @kizerCoundSlouder
    @kizerCoundSlouder4 ай бұрын

    How about the same equation but make it functional?

  • @samuelbenet007
    @samuelbenet0074 ай бұрын

    Un truc que je voudrais voir sur tes vidéos, c’est le domaine de définition. Ici par exemple : X^2-3≠0 ===> Df = R - { -√3 ; √3}

  • @user-nb6no7hk2b
    @user-nb6no7hk2b4 ай бұрын

    It just need patience

  • @Nikos_Iosifidis
    @Nikos_Iosifidis4 ай бұрын

    Nice problem

  • @mathsfamily6766
    @mathsfamily67664 ай бұрын

    please more equation like this ! I love this so much

  • @comdo777
    @comdo7774 ай бұрын

    asnwer=x1 isit

  • @shmuelzehavi4940
    @shmuelzehavi49404 ай бұрын

    Another method: The original equation is: ((x^2 + x) / (x^2 + 3))^3 - ((x - 3) / (x^2 + 3))^3 = 1 (1) This equation may be written as: a^3 + b^3 + c^3 = 0 , denoting a, b, c as: a = (x^2 + x) / (x^2 + 3) , b = - (x - 3) / (x^2 + 3) , c = -1 Is easy to show that: a + b + c = 0 and in this case: a^3 + b^3 + c^3 = 3abc = 0 . Therefore, eq. (1) reduces to: ((x^2 + x) / (x^2 + 3)) ((x - 3) / (x^2 + 3)) = 0 (2) However, x^2 + 3 ≠ 0 and therefore eq. (2) reduces to: x (x + 1) (x - 3) = 0 which gives 3 roots: x=0 , x = - 1 , x = 3

  • @user-vz6ff9vw6l
    @user-vz6ff9vw6l4 ай бұрын

    Kwerage tight ywello wy werji x aydelem xsquaru yishalegnal middre chikko azawoch ekhkhkhkheeey yihe dirty ymiyasetella bahriyachun bmin y9gelets y9hon ainstien rasu binor qala5 yattalet nbere kirfatamoch

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