Question

Resolva a equaçoe de 2º grau usando a fórmula geral.a) x² + x + 1 = 0

Answer 1

$x^2 + x + 1 = 0\\ \\ \Delta=b^2-4.a.c\\ \Delta=1^2-4.1.1\\ \Delta=1-4\\ \Delta=-3\\ \\ x=\frac{-b\pm\sqrt{\Delta}}{2a}\\ \\ x=\frac{-1\pm\sqrt{-3}}{2.1}=\frac{-1\pm3i}{2}\\ \\ \boxed{S=\left\{\frac{-1\pm3i}{2} \right\} }$