12
QuizMultiple Choice

Completing the Square — Quiz

Question 12 • Advanced Algebra: Concepts and Connections

Solve for x in the equation x squared minus 4 x minus 9 is equal to 29

Answer
A
x is equal to 2 plus or minus square root of 34
B
x is equal to 2 plus or minus square root of 33
C
x is equal to 2 plus or minus square root of 42
D
x is equal to 4 plus or minus square root of 42

Explanation

Move 29 to the left side: x² − 4x − 38 = 0. Using the quadratic formula gives x = (4 ± √(16 + 152))/2 = (4 ± √168)/2 = 2 ± √42, so the solutions are “2 plus or minus square root of 42,” choice C.

AI-written and checked against the verified answer.

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