5
QuizMultiple Choice

Completing the Square — Quiz

Question 5 • Advanced Algebra: Concepts and Connections

Solve for x in the equation x squared plus 4 x minus 4 is equal to 8

Answer
A
x is equal to negative 2 or x is equal to 6
B
x is equal to negative 6 or x is equal to 2
C
x is equal to negative 2 plus or minus 2 square root of 2
D
x is equal to 2 plus or minus 2 square root of 2

Explanation

Subtract 8 from both sides to get x² + 4x − 12 = 0. Factor this as (x + 6)(x − 2) = 0, so x = −6 or x = 2. The correct choice is D: x is equal to negative 6 or x is equal to 2.

AI-written and checked against the verified answer.

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