28
practice examMultiple Choice

Practice Exam

Question 28 • Algebra I

A quadratic equation of the form 0 is equal to a x squared plus b x plus c has one real number solution. Which could be the equation?

Answer
A
0 is equal to 2 x squared minus 5 x plus 3
B
0 is equal to 2 x squared minus 4 x plus 1
C
0 is equal to negative 2 x squared minus 3 x minus 1
D
0 is equal to negative 2 x squared minus 4 x minus 2

Explanation

A quadratic has exactly one real solution when its discriminant, b² − 4ac, equals 0. For choice D, a = −2, b = −4, and c = −2, so the discriminant is (−4)² − 4(−2)(−2) = 16 − 16 = 0. Therefore, the equation in choice D has one real solution.

AI-written and checked against the verified answer.

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