7
QuizMultiple Choice

Modeling and Analyzing Quadratic Functions: Quadratic Equations — Test

Question 7 • Algebra: Concepts and Connections

Which equation results from taking the square root of both sides of open paren x minus 9 close paren squared is equal to 81 ?

Answer
A
x plus 9 is equal to plus or minus 9
B
x plus 3 is equal to plus or minus 9
C
x minus 3 is equal to plus or minus 9
D
x minus 9 is equal to plus or minus 9

Explanation

Taking the square root of both sides of (x − 9)² = 81 gives x − 9 = ±√81. Since √81 = 9 and the squared expression can come from either a positive or negative value, the result is x − 9 = ±9, choice D.

AI-written and checked against the verified answer.

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