Answer:
The values of x are : [tex]2i[/tex] and [tex]-2i[/tex]
Step-by-step explanation:
Given equation is: [tex]2x^2= -8[/tex]
First, we will divide both sides by 2 for getting rid of that 2 from the left side. So........
[tex]\frac{2x^2}{2}= \frac{-8}{2} \\ \\ x^2=-4[/tex]
Now, we need to take square root on both sides. So, we will get......
[tex]\sqrt{x^2}= \pm \sqrt{-4} \\ \\ x=\pm \sqrt{4(-1)} \\ \\ x=\pm 2\sqrt{-1}= \pm 2i[/tex]
(Replacing [tex]\sqrt{-1}[/tex] as [tex]i[/tex] )
So, the solutions are: [tex]x= 2i, -2i[/tex]
