For the following equation, state the value of the discriminant and then the nature of the soluation:

Question

-3x^2-8x-11=0

Is there one real solution, two imaginary solutions or two real solutions?

Answer 1

d = b^2 - 4ac = 64 - 4(-3)(-11) = 64-132 = -68

since d < 0, there are two complex solutions