Question

Hello, I need some help with this homework question, please?HW Q22

Answer 1

A.

EXPLANATION :

Recall the quadratic formula :

`x=(-b\pm√(b^2-4ac))/(2a)`

From the problem :

`x^2+10x+7=0`

Using the quadratic formula with a = 1, b = 10 and c = 7

`\begin{gathered} x=(-10\pm√(10^2-4(1)(7)))/(2(1)) \\ \\ x=(-10\pm√(72))/(2) \\ \\ x=(-10\pm6√(2))/(2) \\ \\ x=-5\pm3√(2) \end{gathered}`