SOLUTION: help me solve this problem : X1/2 -(X-5)1/2 =2

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Question 235603: help me solve this problem : X1/2 -(X-5)1/2 =2
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
help me solve this problem : X^(1/2) -(X-5)^(1/2) = 2
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Square both sides to get:
x -2sqrt[x(x-5)] + x-5 = 4
2x-5-4 = 2[sqrt(x^2-5x)]
Simplify:
2x-9 = 2[sqrt(x^2-5x)]
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Square both sides to get:
4x^2 - 36x + 81 = 4(x^2-5x)
4x^2 - 36x + 81 = 4x^2 - 20x
16x = 81
x = 81/16
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Cheers,
Stan H.