(x-2)/(x+2)+2/(x^2-4)=1

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(x-2)/(x+2)+2/(x^2-4)=1
(x-2)/(x+2)+2/(x^2-4)=1

(x-2)/(x+2)+2/(x^2-4)=1
因为:x²-4=(x+2)(x-2)
所以原方程两边同乘以x²-4得:
(x-2)(x-2)+2=x²-4
x²-4x+4+2=x²-4
4x=8
x=2
经检验,x=2是增根,所以原方程无解.

(x-2)/(x+2)+2/(x^2-4)=1
(x-2)²+2=x²-4
x²-4x+4+2=x²-4
x²-x²-4x=-4-2-4
-4x=-10
x=5/2