Answer
$x=2.65$ and $x=-2.65$
Work Step by Step
The given equation is
$\Rightarrow x^2+6=13$
Subtract $6$ from each side.
$\Rightarrow x^2+6-6=13-6$
Simplify.
$\Rightarrow x^2=7$
Take the square root of each side.
$\Rightarrow x=\pm \sqrt {7}$
Use a calculator.
$\Rightarrow x=\pm 2.65$
Hence, the solutions are $x=2.65$ and $x=-2.65$.