Answer:
C
Step-by-step explanation:
3x² + 6x + 6 = 0 ( divide through by 3 )
x² + 2x + 2 = 0 ( subtract 2 from both sides )
x² + 2x = - 2
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(1)x + 1 = - 2 + 1
(x + 1)² = - 1 ( take square root of both sides )
x + 1 = ± [tex]\sqrt{-1}[/tex] = ± i ( subtract 1 from both sides )
x = - 1 ± i → C
