7
QuizMultiple Choice

Completing the Square — Quiz

Question 7 • Advanced Algebra: Concepts and Connections

Solve for x in the equation x squared plus 10 x plus 12 is equal to 36

Answer
A
x is equal to negative 2 or x is equal to 12
B
x is equal to negative 11 or x is equal to 1
C
x is equal to negative 1 or x is equal to 11
D
x is equal to negative 12 or x is equal to 2

Explanation

Subtract 36 from both sides to get x² + 10x − 24 = 0. Factor: (x + 12)(x − 2) = 0, so x = −12 or x = 2. The correct choice is C, x is equal to negative 12 or x is equal to 2.

AI-written and checked against the verified answer.

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