Question

03. Quais são as raízes da equação x² + 10x +16 = 0? * 1 ponto (A) 2 e 8 (B) -2 e -8 (C) 5 e -5 (D) -16 e - 4

Answer 1

Resposta:

B) -2 e -8

Explicação passo-a-passo:

$x =\frac{-b\±\sqrt{\Delta} }{2a} \\\\\Delta = b^2-4ac\\\\\Delta = 10^2-4.1.16 = 36\\\\\\x=\frac{-10\±\sqrt{36} }{2.1} = \frac{-10\±6}{2} \\\\x_1=\frac{-10-6}{2}=-8\\\\x_2=\frac{-10+6}{2} = -2$