计算(3-x)/(1-x)+(x^2-2)/(x^2-8x+7)=1+(5-x)/(7-x)
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(3-x)/(1-x)+(x^2-2)/(x^2-8x+7)=1+(5-x)/(7-x)
(1-x+2)/(1-x)+(x^2-2)/(x^2-8x+7)=1+(5-x)/(7-x)
1+2/(1-x)+(x^2-2)/(x^2-8x+7)=1+(5-x)/(7-x)
2/(1-x)+(x^2-2)/(x^2-8x+7)=(5-x)/(7-x)
2/(1-x)+(x^2-2)/(x^2-8x+7)-(5-x)/(7-x)=0
-2/(x-1)+(x^2-2)/(x^2-8x+7)-(x-5)/(x-7)=0
(x^2-2)/(x^2-8x+7)-2/(x-1)-(x-5)/(x-7)=0
(x^2-2)/(x-7)(x-1)-2(x-7)/(x-7)(x-1)-(x-5)(x-1)/(x-1)(x-7)=0
[(x^2-2)-2(x-7)-(x-5)(x-1)]/(x-1)(x-7)=0
[x^2-2-2x+14-(x^2-6x+5)]/(x-1)(x-7)=0
[x^2-2-2x+14-x^2+6x-5)/(x-1)(x-7)=0
(4x+7)/(x-1)(x-7)=0
4x+7=0
x=-7/4
经检验x=-7/4是方程的解
(1-x+2)/(1-x)+(x^2-2)/(x^2-8x+7)=1+(5-x)/(7-x)
1+2/(1-x)+(x^2-2)/(x^2-8x+7)=1+(5-x)/(7-x)
2/(1-x)+(x^2-2)/(x^2-8x+7)=(5-x)/(7-x)
2/(1-x)+(x^2-2)/(x^2-8x+7)-(5-x)/(7-x)=0
-2/(x-1)+(x^2-2)/(x^2-8x+7)-(x-5)/(x-7)=0
(x^2-2)/(x^2-8x+7)-2/(x-1)-(x-5)/(x-7)=0
(x^2-2)/(x-7)(x-1)-2(x-7)/(x-7)(x-1)-(x-5)(x-1)/(x-1)(x-7)=0
[(x^2-2)-2(x-7)-(x-5)(x-1)]/(x-1)(x-7)=0
[x^2-2-2x+14-(x^2-6x+5)]/(x-1)(x-7)=0
[x^2-2-2x+14-x^2+6x-5)/(x-1)(x-7)=0
(4x+7)/(x-1)(x-7)=0
4x+7=0
x=-7/4
经检验x=-7/4是方程的解
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同乘（x-1）*（x-7）
得（x-3）(x-7)+(x^2-2)=（x-1）*（x-7）+(x-5)(x-1)
即-10x+21-2=-8x+7-6x+5
4x=-7
x=-7/4
得（x-3）(x-7)+(x^2-2)=（x-1）*（x-7）+(x-5)(x-1)
即-10x+21-2=-8x+7-6x+5
4x=-7
x=-7/4
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