Question

Given 2x² = -8, x is .

Answer 1

2i or -2i

Explanation:

Answer 2

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

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........

`(2x^2)/(2)= (-8)/(2) \\ \\ x^2=-4`

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

`√(x^2)= \pm √(-4) \\ \\ x=\pm √(4(-1)) \\ \\ x=\pm 2√(-1)= \pm 2i`

(Replacing
`√(-1)` as
`i` )

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