X2 plus 5 equals -2x

Answer 1

If x2 + 5 = -2x, then x2 + 2x + 5 = 0

This equation cannot be readily factored so using the quadratic formula :-

x= {-2 ± √[(-2)2 - 4x5]} ÷ 2 = {-2 ±√-16} ÷ 2 = -1 ± 2i

Therefore x = -1 + 2i or x = -1 - 2i