What is the value of the discriminant, b^2-4ac, for the quadratic equation 0=-2x^2-3x+8, and what does it mean about the number of real solutions the equation has?

Value of D=73

D is positive that means  the roots are real and distinct.

Step-by-step explanation:

We have been given a quadratic equation:

We have to find its dicsriminant which is

Here, a=-2 , b=-3 and c=8 on comparing with the general equation

On substituting the values in the formula of discriminant we get:

Value of D=73

If D is positive that means  the roots are real and distinct.