SOLUTION: squareroot x + squareroot x-5 = 5 Solve equation & check for extraneous solutions

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Question 184682This question is from textbook
: squareroot x + squareroot x-5 = 5

Solve equation & check for extraneous solutions This question is from textbook

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
squareroot x + squareroot x-5 = 5
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Square both sides to get:
x + 2sqrt[x(x-5)] + x-5 = 25
Simplify:
2sqrt[x^2-5x] = -2x+30
Square both sides:
4(x^2-5x) = 4x^2 -120x + 900
4x^2 - 20x = 4x^2 -120x + 900
100x = 900
x = 9
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Cheers,
Stan H.