Answer
$-7.66, \ or, \ 0.655$
Work Step by Step
For the equation $x^2 +7x-5= 0$, we use the quadratic formula as follows
$$
x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a},
\\
a=1, \quad b=7, \quad c=-5
.$$
That is,
$$
x=\frac{-7\pm \sqrt{7^2-4(-5)}}{2(1) }=-7.66, \ or, \ 0.655
.$$
