解方程:(x-4)/(x-5)-(x-5)/(x-6)=(x-7)/(x-8)-(x-8)/(x-9)
来源:学生作业帮 编辑:拍题作业网作业帮 分类:数学作业 时间:2024/11/01 07:32:03
解方程:(x-4)/(x-5)-(x-5)/(x-6)=(x-7)/(x-8)-(x-8)/(x-9)
(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
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
求方程解x-5/x-4+x-9/x-8=x-8/x-7+x-6/x-5
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