Question

Mattie uses the discriminant to determine the number of zeros the quadratic equation 0 = 3x2 – 7x + 4 has. Which best describes the discriminant and the number of zeros?

The equation has one zero because the discriminant is 1.
The equation has one zero because the discriminant is a perfect square.
The equation has two zeros because the discriminant is greater than 0.
The equation has no zeros because the discriminant is not a perfect square.

Answer 1

The equation has two zeros because the discriminant is greater than 0.

Explanation:

Answer 2

The equation has two zeros because the discriminant is greater than 0.

Explanation:

3x^2 – 7x + 4

a=3 b = -7 c=4

The discriminant is

b^2 -4ac

(-7)^2 - 4(3)(4)

49 - 48

1

Since the discriminant is greater than zero, there are two real solutions