8
QuizMultiple Choice

Solving Quadratic Equations: Quadratic Formula

Question 8 • Common Core Algebra I 2014 - MA3109 B-CR

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?

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

Explanation

For 3x² − 7x + 4 = 0, the discriminant is b² − 4ac = (−7)² − 4(3)(4) = 49 − 48 = 1. Since the discriminant is greater than 0, the equation has two distinct real zeros. The correct choice is “The equation has two zeros because the discriminant is greater than 0.”

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