SOLUTION: Hi! I'm having a bit of trouble solving this problem, and was hoping to get a bit of help. What is the solution of {{{ sqrt (2x+4) - sqrt( x ) = 2}}}?

Algebra ->  Square-cubic-other-roots -> SOLUTION: Hi! I'm having a bit of trouble solving this problem, and was hoping to get a bit of help. What is the solution of {{{ sqrt (2x+4) - sqrt( x ) = 2}}}?      Log On


   

Question 962994: Hi! I'm having a bit of trouble solving this problem, and was hoping to get a bit of help. What is the solution of +sqrt+%282x%2B4%29+-+sqrt%28+x+%29+=+2?
Answer by Murthy(22) About Me  (Show Source):
You can put this solution on YOUR website!
+sqrt+%282x%2B4%29+-+sqrt%28+x+%29+=+2
sqrt (2x+4)=2+ sqrt( x )
squaring both sides
(2x+4)=4 + 4*sqrt( x ) + x
x=4*sqrt( x )
=sqrt(x)(sqrt(x)-4)=
therefore, x=0 and x=16 is the solution