### Solve $x^2 + 5 = 0$

Answer:

$\pm \sqrt{ 5 } i$

Step by Step Explanation:
1. Given: $x^2 + 5 = 0$
\begin{align} & \implies x^2 = - 5 \\ & \implies x = \pm \sqrt{ - 5 } \\ & \implies x = \pm \sqrt{ 5 } i & [ \text{ Since } \sqrt{ -1 } = i ] \end{align}
2. Hence, the roots of the quadratic equation are $\pm \sqrt{ 5 } i.$

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