SOLUTION: find the value of x in the equation. 2 radical sign x + 20= 15+3 radical sign x

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Question 5837: find the value of x in the equation. 2 radical sign x + 20= 15+3 radical sign x
Answer by Abbey(339) About Me  (Show Source):
You can put this solution on YOUR website!
2sqrt%28x%29%2B%2820%29=15%2B3%2Asqrt%28x%29
subtract 20 from both sides:
2sqrt%28x%29=-5%2B3%2Asqrt%28x%29
square both sides:
4%2Ax=25-30%2Asqrt%28x%29%2B9x
subtract 25-9x from both sides:
-5x-25=30%2Asqrt%28x%29
divide both sides by -5
x%2B5=-6%2Asqrt%28x%29
square both sides:
x%5E2%2B10x%2B25=36%2Ax
subtract 36x from both sides:
x%5E2-26x%2B25=0
Factor:
%28x-25%29%28x-1%29=0
x=25 or x=1