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Problem Solving (PS) | Re: If x-5=√x+√5 , which of followings is true?

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x-5=√x+√5 is equivalent to (√x+√5)(√x-√5)=√x+√5 or √x+√5=1
√x=√5 + 1
x = 5 + 2√5 + 1 = 6 + 2√5
(x-6)^2 = 20
x^2 – 12x + 36 = 20
x^2 – 12x + 16 = 0

Therefore, the answer is B.

Answer: B

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