解方程:(x-4)/(x-5)-(x-5)/(x-6)=(x-7)/(x-8)-(x-8)/(x-9)

问题描述:

解方程:(x-4)/(x-5)-(x-5)/(x-6)=(x-7)/(x-8)-(x-8)/(x-9)
1个回答 分类:数学 2014-10-15

问题解答:

我来补答
(x-4)/(x-5)-(x-5)/(x-6)=(x-7)/(x-8)-(x-8)/(x-9)
1+1/(x-5)-1-1/(x-6)=1+1/(x-8)-1-1/(x-9)
1/(x-5)-1/(x-6)=1/(x-8)-1/(x-9)
通分:
-1/[(x-5)(x-6)]=-1/[(x-8)(x-9)]
(x-5)(x-6)=(x-8)(x-9)
x^2-11x+30=x^2-17x+72
6x=42
x=7
 
 
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