分式方程x/(x-2)-1/(x²-4)=1的解是

分式方程x/(x-2)-1/(x²-4)=1的解是
分式方程x/(x-2)-1/(x²-4)=1的解是

分式方程x/(x-2)-1/(x²-4)=1的解是
x/(x-2)-1/(x²-4)=1
x/(x-2)-1/(x-2)(x+2)=1
x(x+2)-1/(x-2)(x+2)=1
x(x+2)-1=(x-2)(x+2)
x^2+2x-1=x^2-4
2x=-3
x=-3/2

x/(x-2)-1/(x²-4)=1
x（x+2）/(x²-4)-1/(x²-4)=1
(x²+2x-1)/(x²-4)=1
x²+2x-1=x²-4
2x=-3
x=-3/2
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