Question

Resolva, em C, a equação: x² + 2x + 2 = 0 (obs: √-4 = √4.(-1)= √4.i²= 2i).

Answer 1

$\begin{array}{l}\Delta =b^{2} -4ac=2^{2} -4\cdotp 1\cdotp 2=-4\\\\x=\frac{-b\pm \sqrt{\Delta }}{2a} =\frac{-2\pm 2i}{2\cdotp 1} \Longrightarrow x=-1-i\lor x=-1+i\\\\\therefore \boxed{\boxed{S=\{x\in \mathbb{C} |x=-1-i\lor x=-1+i\}}}\end{array}$