8
QuizMultiple Choice

Transformations of Quadratic Functions — Unit test

Question 8 • FL-1200330-Algebra 2 CR

Which statement about the following equation is true?2x2 – 9x + 2 = –1

Answer
A
The discriminant is less than 0, so there are two real roots.
B
The discriminant is less than 0, so there are two complex roots.
C
The discriminant is greater than 0, so there are two real roots.
D
The discriminant is greater than 0, so there are two complex roots.

Explanation

First rewrite the equation in standard form: 2x² − 9x + 3 = 0. Its discriminant is b² − 4ac = (−9)² − 4(2)(3) = 81 − 24 = 57, which is greater than 0. Therefore, the equation has two real roots, so the true statement is “The discriminant is greater than 0, so there are two real roots.”

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