x/x-1+5x-2/x^2-x=1

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x/x-1+5x-2/x^2-x=1
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x/x-1+5x-2/x^2-x=1
x/x-1+5x-2/x^2-x=1

x/x-1+5x-2/x^2-x=1
x/(x-1)+(5x-2)/(x^2-x)=1
x/(x-1)+(5x-2)/x(x-1)=1
通分,[x^2+(5x-2)]/x(x-1)=1
x^2-(5x-2)=x(x-1)
解得x=1/3