1/(x-7)-1/(x-5)=1/(x-6)-1/(x-4)

来源：百度知道编辑：UC知道时间：2024/06/18 23:10:01

只是初二的数学，别做得太复杂

1/(x-7)-1/(x-5)=1/(x-6)-1/(x-4)
[(x-5)-(x-7)]/[(x-7)(x-5)]=[(x-4)-(x-6)]/[(x-6)(x-4)]
2/[(x-7)(x-5)]=2/[(x-6)(x-4)]
x^2-4x-6x+24=x^2-5x-7x+35
12x-10x=35-24
x=5.5

因为:1/(x-7)-1/(x-5)=1/(x-6)-1/(x-4)

所以:-2/(X-7)(X-5)=-2/(X-6)(X-4)
(X-7)(X-5)=(X-6)(X-4)
展开后: -12X+35=-10X+24
解得X=5.5

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