Question

1. $x^2 = -24$

Explanation:

Step1: Isolate x, take square roots

$$x = \pm\sqrt{-24}$$

Step2: Simplify the imaginary root

$$x = \pm\sqrt{24 \times (-1)} = \pm\sqrt{4 \times 6}i = \pm2\sqrt{6}i$$

Answer:

$x = 2\sqrt{6}i$ and $x = -2\sqrt{6}i$