-2x^2 + 3 has TWO real solutions (It has 0 imaginary solutions)
0^2 - 4(-2)(3)
0 - 24
24
If the discriminant is less than zero, the equation has 2 imaginary solutions and 0 real solutions.
If the discriminant is zero, the equation has 1 imaginary and 1 real solution.
If the discriminant is greater than zero, the equation has 0 imaginary solutions and 2 real solutions.