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?

the discriminant is −55, so the equation has 2 real solutions.
the discriminant is −55, so the equation has no real solutions.
the discriminant is 73, so the equation has 2 real solutions.
the discriminant is 73, so the equation has no real solutions.

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

Step-by-step explanation:

We have been given an equation . We are asked to determine the number of real solutions for our given equation using discriminant formula.

, where,

D = Discriminant,

b = Coefficient of x or middle term.

a = Leading coefficient,

c = constant.

When , the equation has two real and equal zeros.

When , the equation has two real and distinct zeros.

When , the equation has no real zeros.

Upon substituting our given values in above formula we will get,

Since the value of discriminant is 73 that is greater than 0, therefore, the equation has two real zeros and option C is the correct choice.

its kind of blurry. can you put a clearer pic?

step-by-step explanation: