Answer:
3. -1/3 ± 2i√5 / 3
Step-by-step explanation:
3x^2 + 2x = -7
Divide through by 3:
x^2 + 2/3 x = -7/3
Completing the square:
x^2 + 2/3 x + (1/3)^2 = -7/3 + (1/3)^2
(x + 1/3)^2 = -7/3 + 1/9
(x + 1/3)^2 = -20/9
x + 1/3 = ±√(-20) / 3
x + 1/3 = ± 2√-5/3
x = -1/3 ± 2i√5 / 3
