Question

Which equation has the solutions x=(-3+or- -/3i)/2?

A. 2x2 + 6x + 9 = 0
B. x2 + 3x + 12 = 0
C. x2 + 3x + 3 = 0
D. 2x2 + 6x + 3 = 0

Answer 1

(x - (-3 + 3i)/2)(x - (-3 - 3i)/2) = 0
(x + (3 - 3i)/2)(x + (3 + 3i)/2) = 0
(2x + 3 - 3i)(2x + 3 + 3i) = 0
4x^2 + 6x + 6ix + 6x + 9 + 9i - 6ix - 9i + 9 = 0
4x^2 + 12x + 18 = 0
2x^2 + 6x + 9 = 0

Option A is the correct answer.