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?

Respuesta :

Answer:

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:

[tex]2x^2-3x+8[/tex]

We have to find its dicsriminant which is [tex]D=b^2-4ac[/tex]

Here, a=-2 , b=-3 and c=8 on comparing with the general equation [tex]ax^2+bx+c=0[/tex]

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

[tex]D=(-3)^2-4(-2)(8)[/tex]

[tex]\Rightarrow D=9+64=73[/tex]

Value of D=73

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