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Problem Solving (PS) | Re: If x - 7 = √x + √7 , x = ?

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MathRevolution wrote:

If \(x - 7 = √x + √7\) , x = ?

A. 8 + 2√7
B. 8 - 2√7
C. 8 + √7
D. 8 - √7
E. 7 + 2√8


\(x - 7 = √x + √7\)
(√x + √7)(√x - √7) = √x + √7
√x - √7 = 1
√x = 1 + √7
x = 1 + 7 + 2√7 = 8 + 2√7

Answer A

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