Japanese | Can you solve this ? | A Nice Olympiad Algebra Problem
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Hello My Dear Family😍😍😍
I hope you all are well 🤗🤗🤗
If you like this video about
How to solve this math problem
please Like & Subscribe my channel as it helps me alot ,🙏🙏🙏🙏
Пікірлер: 13
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
You told that solition very well.Thank you.
@user-ee7nw2rx9s
Ай бұрын
Если умножить на знаменатель, то не надо возиться с дробями
Если присмотреться то если из первого числителя отнять второй равно знаменателю, это не зря
Eksi....😂
How about the same equation but make it functional?
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}
It just need patience
Nice problem
please more equation like this ! I love this so much
asnwer=x1 isit
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
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