If
you would like to know the discriminant of the quadratic equation 0 = -2x^2 + 3, you can do this using the following steps:
0 = -2x^2 + 3
0 = ax^2 + bx + c
a = -2, b = 0, c = 3
D = b^2 - 4 a c = 0^2 - 4 (-2) 3 = 0 + 4 2 3 = 24
The discriminant is 24 (positive).
If the discriminant of a quadratic equation is equal to zero (b^2 - 4ac = 0), there is one real root which is repeated. If the discriminant is positive (b^2 - 4ac > 0), there are two real roots; and if the discriminant is negative (b^2 - 4ac < 0), there are two complex roots.
Therefore, the equation has 2 real roots.
