x/x+1 - x/x-2 = 3/x^2-x-2
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x/x+1 - x/x-2 = 3/x^2-x-2
x/x+1 - x/x-2 = 3/x^2-x-2
x/x+1 - x/x-2 = 3/x^2-x-2
x/(x+1)-x/(x-2)=3/(x-2)(x+1)
两边乘(x-2)(x+1)
x(x-2)-x(x+1)=3
x²-2x-x²-x=3
-3x=3
x=-1
带入检验
x=-1使公分母(x-2)(x+1)=0
所以是增根,舍去
所以方程无解
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