Answer
$\left\{-13,13\right\}$
Work Step by Step
Taking the square root of both sides (Square Root Property), the given equation, $
w^2=169
,$ is equivalent to
\begin{align*}
w&=\pm\sqrt{169}
\\&=
\pm13
.\end{align*}
Hence, the solution set of the equation $
w^2=169
$ is $\left\{-13,13\right\}$.
