Question

As raízes da equação -x⁴+7x²=12 são?

Answer 1

Resposta:

$S=\{-2,-\sqrt{3},\sqrt{3} ,2\}$

Explicação passo a passo:

-x⁴ + 7x² = 12

-x⁴ + 7x² - 12 = 0

x⁴ - 7x² + 12 = 0

Δ = (-7)² - 4.1.12

Δ = 49 - 48

Δ = 1

$x^2=\frac{-(-7)\pm\sqrt{1} }{2.1} \\\\x^2=\frac{7\pm1}{2} \\\\x^2=4\\x=-2~~ ou~~ x=2\\\\x^2=3\\x=-\sqrt{3}~~ou~~x=\sqrt{3}$