Use the discriminant to determine the number of real solutions of 3x2=16x+12 . Which of the following statements gives the correct explanation?(1 point) Responses 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 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 negative. There will be no real solutions since the discriminant is negative. There will be two real solutions since the discriminant is negative.

Question

Use the discriminant to determine the number of real solutions of 3x2=16x+12 . Which of the following statements gives the correct explanation?(1 point) Responses 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 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 negative. There will be no real solutions since the discriminant is negative. There will be two real solutions since the discriminant is negative.

Answer 1

The given equation is a quadratic equation in the form of ax^2 + bx + c = 0, where a = 3, b = -16, and c = -12. The discriminant is given by b^2 - 4ac.

Plugging in the values, we have:

Discriminant = (-16)^2 - 4(3)(-12)
Discriminant = 256 + 144
Discriminant = 400

Since the discriminant is positive (400 > 0), there will be two real solutions.