解分式方程7/(XX+X)+1/(xx-x) =6/(xx-1)

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解分式方程7/(XX+X)+1/(xx-x) =6/(xx-1)

解分式方程7/(XX+X)+1/(xx-x) =6/(xx-1)
解分式方程7/(XX+X)+1/(xx-x) =6/(xx-1)

解分式方程7/(XX+X)+1/(xx-x) =6/(xx-1)
7/x(x+1)+1/x(x-1)=6/(x+1)(x-1)
两边乘x(x+1)(x-1)
7x-7+x+1=6x
x=3
经检验,x=3是方程的解

7/(x^2+X)+1/(x^2-x) =6/(x^2-1)
7/x(x+1)+1/x(x-1)=6/(x+1)(x-1)
7(x-1)+(x+1)=6x
2x=6
x=3