Final answer:
The equation 2x² = -8 has no real solutions. The answer is d. 4i or -4i.
Step-by-step explanation:
To solve the equation 2x² = -8, we can start by dividing both sides of the equation by 2 to isolate x². This gives us x² = -4. Next, we can take the square root of both sides of the equation to solve for x. Since the square root of a negative number is not a real number, we can conclude that there are no real solutions to this equation. Therefore, the answer is d. 4i or -4i.