SOLUTION: solve square root of x - 15 + 1 = the square root of x

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Question 65842This question is from textbook An Incremental Development
: solve
square root of x - 15 + 1 = the square root of x This question is from textbook An Incremental Development

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
solve
square root of x - 15 + 1 = the square root of x
sqrt%28x-15%29%2B1=sqrt%28x%29
sqrt%28x-15%29%2B1-1=sqrt%28x%29-1
sqrt%28x-15%29=sqrt%28x%29-1
%28sqrt%28x-15%29%29%5E2=%28sqrt%28x%29-1%29%5E2
x-15=sqrt%28x%5E2%29-2sqrt%28x%29%2B1
x-15=x-2sqrt%28x%29%2B1
x-x-15-1=x-x-2sqrt%28x%29%2B1-1
-16=-2sqrt%28x%29
-16%2F-2=-2sqrt%28x%29%2F-2
8=sqrt%28x%29
%288%29%5E2=%28sqrt%28x%29%29%5E2
64=x
check to make sure that this is not extraneous.
sqrt%2864-15%29%2B1=sqrt%2864%29
sqrt%2849%29%2B1=8
7%2B1=8
8=8
The solution highlight%28x=64%29 is valid.
Happy Calculating!!!!