19
QuizMultiple Choice

Quadratics and Complex Numbers — Test

Question 19 • CMS 2026-2027 Foundations of Math 3 INITIAL CREDIT

Which statement about the following equation is true? 2 x squared minus 9 x plus 2 is equal to negative 1

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

Explanation

First rewrite the equation in standard form by adding 1 to both sides: 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 choice C is correct.

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