SOLUTION: Solve: {{{sqrt(sqrt(x+5)+x)=5}}} --- Final Answer is 20 Show steps.

Algebra ->  Radicals -> SOLUTION: Solve: {{{sqrt(sqrt(x+5)+x)=5}}} --- Final Answer is 20 Show steps.      Log On


   

Question 560654: Solve:
sqrt%28sqrt%28x%2B5%29%2Bx%29=5
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Final Answer is 20
Show steps.
Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28sqrt%28x%2B5%29%2Bx%29=5
%28sqrt%28sqrt%28x%2B5%29%2Bx%29%29%5E2=%285%29%5E2
%28sqrt%28x%2B5%29%2Bx%29=25
%28sqrt%28x%2B5%29%29=25-x
x%2B5=%2825-x%29%5E2
x%2B5=625-50x%2Bx%5E2
-x-5%2B625-50x%2Bx%5E2=0
-51x%2B620%2Bx%5E2=0
rearrange above equation
x%5E2-51x%2B620=0
Now solve for x
x%5E2-31x-20x%2B620=0
x%28x-31%29-20%28x-31%29=0
x%28x-31%29-20%28x-31%29=0
%28x-31%29%28x-20%29=0
x-31=0or x-20=0
x=31or x=20