SOLUTION: I am looking for a non-profit tutor. I am having problems understanding the process of solving this problem. The question is the squareroot of (x+2) minus x equals 0. I am solving

Algebra ->  Square-cubic-other-roots -> SOLUTION: I am looking for a non-profit tutor. I am having problems understanding the process of solving this problem. The question is the squareroot of (x+2) minus x equals 0. I am solving      Log On


   

Question 179309: I am looking for a non-profit tutor. I am having problems understanding the process of solving this problem. The question is the squareroot of (x+2) minus x equals 0. I am solving for x. Can someone please explain. I keep coming up with 0 and I am not sure.
sqrt%28x%2B2%29-x%2B0
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x%2B2%29-x=0
:
sqrt%28x%2B2%29=xadded x to both sides
:
x%2B2=x%5E2squared both sides
:
x%5E2-x-2=0put all terms on 1 side
:
%28x-2%29%28x%2B1%29=0factored
:
x=2 and x=-1
:
check for extraneous roots
:
-1 is and extraneous root so we throw it out(it does not make the statement true
:
highlight%28x=2%29