Solve the equation.

X^2=2x^2 + 4

No real solution or if you learned imaginary numbers, 2i

Step-by-step explanation:

x^2=2x^2+4

x^2=x^2+x^2+4

Subtract x^2 from both sides

0=x^2 + 4

Subtract 4 from both sides

x^2 = - 4

Square root both sides

x=sqrt (-4)

x=2i or no real solutions

First step:

Subtract 2x^2 from both sides to get x by itself but remember there is always an invisible 1 infront of x, So ...

1x^2 = 2x^2 + 4

-2x^2 - 2x^2

-1x^2 = 4

Second step:

Divide - 1 from both sides to get x by itself

-1 / - 1 x^2 = 4 / - 1

X^2 = - 4

Third step:

Since the x has an exponent, the power function with an even exponent is always positive or 0

X = 0