Answer
The solutions are $\sqrt{\frac{13}{2}}$ and $-\sqrt{\frac{13}{2}}$.
Work Step by Step
$ 14x^{2}=91\qquad$ ...divide entire expression with $14$.
$ x^{2}=\displaystyle \frac{91}{14}\qquad$ ...divide numerator and denominator with $7$.
$ x^{2}=\displaystyle \frac{13}{2}\qquad$ ...take square roots of each side.
$x=\pm\sqrt{\frac{13}{2}}$
