SOLUTION: How do we simplify to find x for sqrt (x+2)-x =0 please show me the steps to solve for x

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Question 333197: How do we simplify to find x for
sqrt (x+2)-x =0
please show me the steps to solve for x

Answer by Jk22(389) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt (x+2)-x =0 |+x
sqrt(x+2)=x | square
x+2=x^2 |-x-2
x^2-x-2=0 |complete square
(x-1/2)^2-1/4-2=0
(x-1/2)^2=9/4
x-1/2=+/-3/2
x=1/2+/-3/2=(1+/-3)/2=2,-1