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问题: 分式方程求解(要过程)

1/(x-1)-1/(x-2)=1/(x-3)-1/(x-4)

解答:

1/(x-1)-1/(x-2)=1/(x-3)-1/(x-4)
化简为:

[(x-2)-(x-1)]/[(x-1)(x-2)]=[(x-4)-(x-3)]/[(x-3)(x-4)]
即:-1/[(x-1)(x-2)]=-1/[(x-3)(x-4)]
即:(x-1)(x-2)=(x-3)(x-4) 且x不为1. 2. 3. 4

解得:x=2.5