Answer
$x= \pm 3i$
Work Step by Step
Given \begin{equation}
x^2+9=0.
\end{equation} Solve for $x$. \begin{equation}
\begin{aligned}
x^2+9&=0\\
x^2 &=-9\\
x&= \pm\sqrt{-9}\\
&= \pm 3i.
\end{aligned}
\end{equation} The solution is $x= \pm 3i$.