13
QuizMultiple Choice

Completing the Square — Quiz

Question 13 • Advanced Algebra: Concepts and Connections

What are the solutions of x squared plus 6 x minus 6 is equal to 10 ?

Answer
A
x is equal to negative 11 or x is equal to 1
B
x is equal to negative 11 or x is equal to negative 1
C
x is equal to negative 8 or x is equal to negative 2
D
x is equal to negative 8 or x is equal to 2

Explanation

Subtract 10 from both sides to get x² + 6x − 16 = 0. Factor this as (x + 8)(x − 2) = 0, so x = −8 or x = 2. The correct choice is D, x is equal to negative 8 or x is equal to 2.

AI-written and checked against the verified answer.

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