Question

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?

Answer 1

Value of D=73

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

Explanation:

We have been given a quadratic equation:

`2x^2-3x+8`

We have to find its dicsriminant which is
`D=b^2-4ac`

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

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

`D=(-3)^2-4(-2)(8)`

`\Rightarrow D=9+64=73`

Value of D=73

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