Question

Given 2x² = -8, x is .

Answer 1

Answer:

The values of x are : $2i$ and $-2i$

Step-by-step explanation:

Given equation is:   $2x^2= -8$

First, we will divide both sides by 2 for getting rid of that 2 from the left side. So........

$\frac{2x^2}{2}= \frac{-8}{2} \\ \\ x^2=-4$

Now, we need to take square root on both sides. So, we will get......

$\sqrt{x^2}= \pm \sqrt{-4} \\ \\ x=\pm \sqrt{4(-1)} \\ \\ x=\pm 2\sqrt{-1}= \pm 2i$

(Replacing $\sqrt{-1}$ as  $i$ )

So, the solutions are: $x= 2i, -2i$