SOLUTION: The square root of the difference between a number and 5 addded to the square root of the number is equal to 5

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Question 701366: The square root of the difference between a number and 5 addded to the square root of the number is equal to 5
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The square root of the difference between a number and 5 addded to the square root of the number is equal to 5
:
sqrt%28x-5%29+%2B+sqrt%28x%29+=+5
sqrt%28x-5%29+=+5+-+sqrt%28x%29
Square both sides, FOIL the right side
x+-+5+=+25+-+10sqrt%28x%29+%2B+x
rearrange to:
10sqrt%28x%29+=+25+%2B+x+-+x+%2B+5
10sqrt%28x%29+=+30
divide both sides by 10
sqrt%28x%29+=+3
square both sides
x = 9
:
You can confirm this, replace x with 9 in the original equation