511
RCMultiple Choice

Unit Summary — Cumulative exam

Question 511 • Career Explorations - EL3401

What is the value of the discriminant of the quadratic equation −2x2 = −8x + 8, and what does its value mean about the number of real number solutions the equation has?

Answer
A
The discriminant is equal to 0, which means the equation has no real number solutions.
B
The discriminant is equal to 0, which means the equation has one real number solution.
C
The discriminant is equal to 128, which means the equation has no real number solutions.
D
The discriminant is equal to 128, which means the equation has two real number solutions.

Explanation

Write the equation in standard form: −2x² + 8x − 8 = 0, so a = −2, b = 8, and c = −8. The discriminant is b² − 4ac = 8² − 4(−2)(−8) = 64 − 64 = 0. A discriminant of 0 means the equation has one real number solution, so the correct choice is B.

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