Question

Solve 2x2 + 8 = 0 by graphing the related function.

Answer 1

Answer:

The values of x are x= 2i and x= -2i

Step-by-step explanation:

We need to solve the equation:

2x^2 + 8 =0

Taking 2 common

2(x^2 +4) =0

Dividing both sides by 2

x^2+4 =0

Adding -4 on both sides

x^2 +4 -4 = 0-4

x^2 = -4

Taking square root on both sides we get

√x^2 = √-4

we know √4 = 2 and √-1 = i so answer is:

x = ± 2i

The values of x are x= 2i and x= -2i

The graph is shown in figure attached.