Question

Given 2x² = -8, x is ____

Answer 1

No real solutions, but there are complex solutions

x=2i and x = -2i.

Explanation:

2x² = - 8

x² = - 4

x = +/- √(-4)= +/-√[(-1)*4] = +/-[√4 *√(-1)] = +/- [2*i]

x=2i and x = -2i

Answer 2

2x² = -8

x² = -4

The answer is no real solutions (x ∉ R) because a perfect square cannot be negative.