SOLUTION: Please help me solve this equation: {{{sqrt(x+25)+5=x}}} I came up with this problem being unsolvable, but I'm not sure that"s correct.

Algebra ->  Radicals -> SOLUTION: Please help me solve this equation: {{{sqrt(x+25)+5=x}}} I came up with this problem being unsolvable, but I'm not sure that"s correct.      Log On


   



Question 594239: Please help me solve this equation:
sqrt%28x%2B25%29%2B5=x
I came up with this problem being unsolvable, but I'm not sure that"s correct.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x%2B25%29%2B5=x

sqrt%28x%2B25%29=x-5

Square both sides
x%2B25+=+%28x-5%29%5E2

x%2B25+=+x%5E2-10x%2B25
x%5E2-10x-x-25%2B25=0
x%5E2-11x=0
x%28x-11%29=0
x= 0 OR 11