Answer:
no real solutions
Step-by-step explanation:
x² + 6x + 12 = 0
the general solution :
x = (-b ±sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 6
c = 12
the discriminate is (b² - 4ac).
so,
x = (-6 ± sqrt(6² - 4×1×12))/(2×1)
the discriminate is
6² - 4×12 = 36 - 48 = -12
this is negative, so via the square root of a negative number we get 2 complex (imaginary) solutions.
