A nice algebraic equation to solve| Math Olympiad

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[@marcgriselhubert3915]

The given equation is equivalent to sqrt(x^2 +7) = 7 - x^4, so 7 - x^4 >=0 is necessary. Now let's consider y = x^2, the given equation is then equivalent to sqrt(y + 7) = 7 - y^2 , with 7 - y^2 >=0 or 0

[@mks-learning-easy]

Nice Solution 😊

[@user-iw2zn2mj3c]

Справа 1или7

[@flyingsani5]

x = root 2

[@user-dq3uh6ee5w]

+_V2 (here real values).

[@user-ee7nw2rx9s]

А что если сделать интересную замену 7=а, и решить квадратное уравнение относительно а?

[@user-zs9dh6ng1f]

Почему а=2*19???

[@user-tg2gm1ih9g]

if you know the answer, anything is easy to solve.

[@nahideipekcioglu7552]

X²=2 kullan. Cevap çıkıyor