SOLUTION: (square root of x) +4=(square root of x+16)

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Question 143102: (square root of x) +4=(square root of x+16)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x%29%2B4=sqrt%28x%2B16%29 Start with the given equation


%28sqrt%28x%29%2B4%29%5E2=x%2B16 Square both sides to eliminate the square root on the right side


x%2B8%2Asqrt%28x%29%2B16=x%2B16 Foil the left side


8%2Asqrt%28x%29=x%2B16-x-16 Subtract x from both sides. Subtract 16 from both sides.


8%2Asqrt%28x%29=0 Combine like terms


sqrt%28x%29=0 Divide both sides by 8


x=0%5E2 Square both sides


x=0 Simplify


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Answer:
So the solution is x=0