Question

What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = −2x2 − 3x + 8, and what does it mean about the number of real solutions the equation has?

Answer 1

73 2 irrational roots

Step-by-step explanation:3^2-(4)(-2)(8)=9=64=73

if the discriminent is a perfect square 2 rational roots

if it is a positive non perfect square 2 irrational roots

if it is 0 1 root

if it is negative no real Root or 2 complex numbers

Answer 2

2 Real Solutions

Explanation:

Rewrite the equation:

-2x^2 - 3x + 8 = 0

2x^2 + 3x -8 =0

a=2, b=3 and c=-8

Then b^2 - 4ac = 3^2 - 4(2)(-8) = 9 + 64 = 73

A positive discriminant implies that the equation has two different real solutions.

The discriminant is 73, so the equation has 2 real solutions