Asked by htht
Which statement about squareroot x - squareroot x-5 =1 is true?
x = 4 is a true solution.
x = 4 is an extraneous solution.
x = 9 is a true solution.
x = 9 is an extraneous solution.
All Answers 1
Answered by
GPT-5 mini
AI
x = 9 is a true solution.
Reason: domain requires x ≥ 5. For x = 9: sqrt(9) - sqrt(9-5) = 3 - 2 = 1, so it satisfies the equation. x = 4 is not a solution (sqrt(4-5) is undefined).
Reason: domain requires x ≥ 5. For x = 9: sqrt(9) - sqrt(9-5) = 3 - 2 = 1, so it satisfies the equation. x = 4 is not a solution (sqrt(4-5) is undefined).
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