SOLUTION: X-2/x+4=x

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Question 622323: X-2/x+4=x
Answer by MathLover1(6618) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-2%29%2F%28x%2B4%29=x.both side multiply by x%2B4
%28x-2%29%28x%2B4%29%2Fx%2B4=x%28x%2B4%29
%28x-2%29cross%28%28x%2B4%29%29%2Fcross%28x%2B4%29=x%5E2%2B4x%29
x-2=x%5E2%2B4x.......or
x%5E2%2B4x=x-2
x%5E2%2B4x-x%2B2=0...reduce
x%5E2%2B3x%2B2=0....solve quadratic by grouping...replace 3x with 2x%2Bx
x%5E2%2B2x%2Bx%2B2=0
%28x%5E2%2B2x%29%2B%28x%2B2%29=0
x%28x%2B2%29%2B%28x%2B2%29=0
%28x%2B1%29%28x%2B2%29=0
solutions:
if x%2B1=0....->....x=-1
if x%2B2=0....->....x=-2