Answer
$9-2\ i$, $9+2\ i$
Work Step by Step
Given \begin{equation}
5(g-9)^2+25=5.
\end{equation} This equation can be best solved by using the square root property.
\begin{equation}
\begin{aligned}
5(g-9)^2+25&=5\\
(g-9)^2&=\frac{5-25}{5}\\
(g-9)^2&= -4\\
g-9&= \pm \sqrt{-4}\\
g&=9\pm 2\ i.
\end{aligned}
\end{equation} The solution is \begin{equation}
g= 9-2\ i\ ,\quad g= 9+2\ i.
\end{equation}
