Question

Resolva x ⁴ − 9 x² + 13 = 0

Answer 1

Resposta:

$S=\{-2\sqrt{2},-1,1,2\sqrt{2}\}$

Explicação passo a passo:

$\Delta=(-9)\²-4.1.13\\\\\Delta= 81-52\\\\\Delta=49\\\\x\²=\frac{-(-9)\pm\sqrt{49} }{2.1} \\\\x\²=\frac{9\pm7}{2} \\\\x^2=\frac{16}{2}=8 \implies x=2\sqrt{2} ~ou~ x=-2\sqrt{2} \\ou\\x^2=\frac{2}{2 } =1 \implies x=1~ ou~x=-1$