Answer
$$\frac{1}{\sqrt 10}$$
$$and$$
$$-\frac{1}{\sqrt 10}$$
Work Step by Step
$x^{2}-\frac{1}{10}=0$
$x^{2}-\frac{1}{10}+\frac{1}{10}=0+\frac{1}{10}$
$x^{2}=\frac{1}{10}$
$x=+/-\sqrt \frac{1}{10}$
$x=+/-\frac{\sqrt 1}{\sqrt 10}$
$x=+/-\frac{1}{\sqrt 10}$