SOLUTION: Please help me solve for x: {{{ sqrt( x+5 ) - sqrt( x+3 ) = 2 }}} Thank you.

Algebra ->  Square-cubic-other-roots -> SOLUTION: Please help me solve for x: {{{ sqrt( x+5 ) - sqrt( x+3 ) = 2 }}} Thank you.      Log On


   

Question 351637: Please help me solve for x: +sqrt%28+x%2B5+%29+-+sqrt%28+x%2B3+%29+=+2+
Thank you.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
adding sqrt(x+3)___ sqrt(x+5) = 2 + sqrt(x+3)

squaring ___ x + 5 = 4 + 4 sqrt(x+3) + x + 3

subtracting x+7 and dividing by 4 ___ -1/2 = sqrt(x+3)

squaring (again) ___ 1/4 = x + 3