# How do you solve sqrt(8 x + 1) = 5 and find any extraneous solutions?

Jul 7, 2016

$x = 3$

#### Explanation:

Square both sides

${\left(\sqrt{8 x + 1}\right)}^{2} = {5}^{2}$

$8 x + 1 = 25$

Isolate the variable term

$8 x = 24$

Isolate the variable (get rid of the coefficient)

$x = 3$

All values leading up to but not including $- \frac{1}{8}$ are when the equation is undefined.