Determine the number and type of solutions for the quadratic equation:

Question

4X^2 + 3X= -8

Answer 1

4 x^2 + 3 x + 8 = 0

the nature of the discriminant determines the type of solutions

b^2 - 4 a c = 9 - 32 = -23 ... negative and not a perfect square
... the solutions are imaginary , two complex conjugates

Answer 2

4 x^2 + 3x +8 = 0
b^2-4ac = 9 - 128
Negative so solutions are complex

Answer 3

Damon got the right value for the discriminant

final result doesn't change