Question

[Nguyễn Thị Yến Nhi]

(-2 +x^2)*(-2 +x^2)*(-2 +x^2)*(-2 +x^2)*(-2 +x^2) = 1

Answer 1

[Lê Tài Bảo Châu]

\(\Leftrightarrow\left(x^2-2\right)^5=1\)

\(\Leftrightarrow x^2-2=1\)

\(\Leftrightarrow x^2=3\)

\(\Leftrightarrow x=\pm\sqrt{3}\)

Vậy ...

Answer 2

[KAl(SO4)2·12H2O]

(-2 + x²)(-2 + x²)(-2 + x²)(-2 + x²)(-2 + x²) = 1

(x² - 2)(x² - 2)(x² - 2)(x² - 2)(x² - 2) = 1

(x² - 2)⁵ = 1⁵

x² - 2 = 1

x² = 1 + 2

x² = 3

x = \(\pm\sqrt{3}\)