Which answer describes the number and type of solutions for the given equation? Use the discriminant. x² + 6x + 12 = 0

Question

I got "two irrational solutions". Is that answer correct or incorrect.

Answer 1

Compute the discriminant, b² - 4ac, where a = 1, b = 6, and c = 12:

b² - 4ac

6² - 4(1)(12) = 36 - 48 = -12

Since the discriminant is negative, there are two complex solutions (no real solutions). The two solutions are -3 ± i√3