Question

x4-2x2+7=0 qual a resposta ?

Answer 1

→ x² = u

u² -2u +7 = 0

$\Delta = \mathsf {b^2-4ac }$

4 -4 * 7

-24 → i * 2² * 6

$\mathsf{u = \frac{-b \pm \sqrt{\Delta} }{2a}}$

2 ± 2i√6/2

1 ± i√6

→ x = ±√u

{+√1 + i√6 , +√1 - i√6 , -√1 + i√6 , -√1 - i√6}