Question

Use the discriminant to determine the number of real solutions of −6x2−108=0 . Which of the following statements gives the correct explanation?(1 point)
Responses

There will be two real solutions since the discriminant is positive.
There will be two real solutions since the discriminant is positive.

There will be no real solutions since the discriminant is zero.
There will be no real solutions since the discriminant is zero.

There will be one real solution since the discriminant is zero.
There will be one real solution since the discriminant is zero.

There will be no real solutions since the discriminant is negative.
There will be no real solutions since the discriminant is negative.

Answer 1

The correct statement is: "There will be two real solutions since the discriminant is positive." The discriminant is the term underneath the square root in the quadratic formula, which determines the nature of the solutions. If the discriminant is positive, there are two distinct real solutions.