# How do you solve 36w^2=121?

Feb 13, 2017

$w = \pm \frac{11}{6}$

#### Explanation:

$\text{Isolate "w^2" by dividing both sides by 36}$

$\frac{\cancel{36} {w}^{2}}{\cancel{36}} = \frac{121}{36}$

$\Rightarrow {w}^{2} = \frac{121}{36}$

Take the $\textcolor{b l u e}{\text{square root}}$ of both sides.

$\sqrt{{w}^{2}} = \pm \sqrt{\frac{121}{36}} = \pm \frac{\sqrt{121}}{\sqrt{36}}$

$\Rightarrow w = \pm \frac{11}{6}$