SOLUTION: square root of y+10-(minus) square root of y-2 =2

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Question 78886: square root of y+10-(minus) square root of y-2 =2
Answer by tutor_paul(427) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28y%2B10%29-sqrt%28y-2%29=2
As a first step, get the square roots on either side of the equation as a prelude to squaring both sides...
sqrt%28y%2B10%29=2%2Bsqrt%28y-2%29
Now, square both sides - recall how to square a binomial:
y%2B10=4%2B4sqrt%28y-2%29%2By-2
The single y's on each side of the equation cancel, so you have:
10=2%2B4sqrt%28y-2%29
Now, get the sqrt alone on one side:
4sqrt%28y-2%29=8
sqrt%28y-2%29=2
Square both sides:
y-2=4
highlight%28y=6%29
Good Luck,
tutor_paul@yahoo.com