Question

Resolva a equação: 4x² + 8x + 6 = 0 *
-1 e 5
5 e -1
2 e 5
-1 e 4

Answer 1

Resposta:

$4x^2 + 8x + 6 = 0\\x_{1,\:2}=\frac{-8\pm \sqrt{8^2-4\cdot \:4\cdot \:6}}{2\cdot \:4}\\x_{1,\:2}=\frac{-8\pm \:4\sqrt{2}i}{2\cdot \:4}\\x_1=\frac{-8+4\sqrt{2}i}{2\cdot \:4},\:x_2=\frac{-8-4\sqrt{2}i}{2\cdot \:4}\\x=-1+i\frac{\sqrt{2}}{2}\:\\-1, 4$