5
QuizMultiple Choice

Quadratics and Complex Numbers — Test

Question 5 • Algebra II

Which statement about the following equation is true? 3 x squared minus 8 x plus 5 is equal to 5 x squared

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

Explanation

Move all terms to one side: 2x² + 8x − 5 = 0. Its discriminant is b² − 4ac = 8² − 4(2)(−5) = 104, 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.”

AI-written and checked against the verified answer.

Previous
Next