15
practice testMultiple Choice

Practice Test

Question 15 • Algebra 2 with Probability

Which statement about square root of x minus square root of x minus 5 end root is equal to 1 is true?

Answer
A
x is equal to 4 is a true solution.
B
x is equal to 9 is a true solution.
C
x is equal to 4 is an extraneous solution.
D
x is equal to 9 is an extraneous solution.

Explanation

For x = 9, the expression is √9 − √(9 − 5) = 3 − 2 = 1, so 9 is a true solution. In contrast, x = 4 makes √(x − 5) undefined over the real numbers.

AI-written and checked against the verified answer.

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