Question

X
elevado a 4 +12=7x elevado a 2

Answer 1

Resposta:

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

Explicação passo a passo:

Resolva a equação:

x⁴ + 12 = 7x²

x⁴ - 7x² + 12 = 0

$\Delta=(-7)^2-4.1.12\\\\\Delta=49-48\\\\\Delta=1\\\\x^2=\frac{-(-7)\pm\sqrt{1} } {2.1}\\\\x^2=\frac{7\pm1}{2}\\\\x^2=\frac{8}{2}=4\\ou\\x^2=\frac{6}{2=3}\\\\x=-2~~ou~~x=2\\ou\\ x=-\sqrt{3} } ~~ou~~x=\sqrt{3}$