20
QuizMultiple Choice

Quadratics and Complex Numbers — Test

Question 20 • Algebra II

Use the zero product property to find the solutions to the equation 6 x squared minus 5 x is equal to 56

Answer
A
x is equal to negative 8 thirds or x is equal to 7 halves
B
x is equal to negative 1 half or x is equal to 56 thirds
C
x is equal to negative 8 or x is equal to 7 sixths
D
x is equal to negative 3 sevenths or x is equal to 2 thirds

Explanation

First move 56 to the left to get 6x² − 5x − 56 = 0. Factor: (3x + 8)(2x − 7) = 0. By the zero product property, 3x + 8 = 0 or 2x − 7 = 0, giving x = −8/3 or x = 7/2. These are the solutions in choice A.

AI-written and checked against the verified answer.

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