Question

Dada a equação biquadratica, calcula: x⁴-17x²+16=0​

Answer 1

Resposta:

S = {-4, -1, 1, 4}

Explicação passo a passo:

x⁴ -  17x² + 16 = 0​

$\Delta=(-17)^2-4.1.16\\\\\Delta=289-46=225\\\\x^2=\frac{-(-17)\pm\sqrt{225} }{2.1} \\\\x^2=\frac{17\pm15}{2} \\\\x^2=16\implies~x=4 ~ou~x=-4\\ou\\x^2=1 \implies~x=1~ou~x=-1$