x-2分之X+1 + X-1分之X+2 =2

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x-2分之X+1 + X-1分之X+2 =2
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x-2分之X+1 + X-1分之X+2 =2
x-2分之X+1 + X-1分之X+2 =2

x-2分之X+1 + X-1分之X+2 =2
x-2分之X+1 + X-1分之X+2 =2
两边同时乘(x-2)(x-1)得:
(x+1)(x-1)+(x+2)(x-2)=2(x-2)(x-1)
x^2-1+x^-4=2x^2-6x+4
6x=9
x=1.5
经检验x=1.5是原方程的解

答:
(x+1)/(x-2)+(x+2)/(x-1)=2
(x-2+3)/(x-2)+(x-1+3)/(x-1)=2
3/(x-2)+3/(x-1)=0
x-2=-(x-1)
x-2=-x+1
2x=3
x=3/2
经检验,x=3/2是原分式方程的根

化简得
X²-2X+1+X²-4=2X²-3X+2
-2X+1-4=-3X+2
X=5

(x+1)/(x-2)+(x+2)/(x-1)=2
(x+1)(x-1)+(x+2)(x-2)=2(x-2)(x-1)
x^2-1+x^2-4=2x^2-6x+4
6x=9
x=3/2