Answer
$x = \frac{±6\sqrt {5}}{{5}}$
Work Step by Step
$5x^2 + 1 = 37$
Subtract $1$ to both sides.
$5x^2 + 1 -1= 37-1$
$5x^2 = 36$
Divide both sides by $5$. Thus, the equation becomes:
$x^2 = \frac{36}{5}$
Get the square root of both sides.
$\sqrt {x^2} = \sqrt {\frac{36}{5}}$
$x = \frac{±6}{\sqrt {5}}$
$x = \frac{±6\sqrt {5}}{{5}}$
