8
practice testMultiple Choice

Practice Test

Question 8 • Advanced Algebra: Concepts and Connections

What are the values of x in the equation x squared minus 6 x plus 9 is equal to 25 ?

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

Explanation

Rewrite the left side as a perfect square: x² − 6x + 9 = (x − 3)². Then (x − 3)² = 25, so x − 3 = 5 or x − 3 = −5, giving x = 8 or x = −2. The correct choice is B, x is equal to negative 2 or x is equal to 8.

AI-written and checked against the verified answer.

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