Answer
$x\approx3.46$ or $x\approx-3.46$
Work Step by Step
$x^{2}+5=17$
Subtracting $5$ from each side, we get
$x^{2}=12$
Taking the square root of each side, we obtain
$x=\pm \sqrt {12}\approx\pm 3.46$
The solutions are $x\approx3.46$ or $x\approx-3.46$.