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解分式方程1/x-5-1/x-6＝1/x-8-1/x-9仿照此法,你能接下面的方程吗试试看x-4/x-5-x-8/x-9＝x-7/x-8x-5/x-6
题目详情
解分式方程1/x-5-1/x-6＝1/x-8-1/x-9仿照此法,你能接下面的方程吗试试看x-4/x-5-x-8/x-9＝x-7/x-8x-5/x-6
▼优质解答
答案和解析
1/x-5-1/x-6=1/x-8-1/x-9
(x-6-x+5)/(x-5)(x-6)=(x-9-x+8)/(x-8)(x-9)
-1/(x-5)(x-6)=-1/(x-8)(x-9)
(x-5)(x-6)=(x-8)(x-9)
x²-11x+30=x²-17x+72
-11x+17x=72-30
6x=42
x=7
(x-6-x+5)/(x-5)(x-6)=(x-9-x+8)/(x-8)(x-9)
-1/(x-5)(x-6)=-1/(x-8)(x-9)
(x-5)(x-6)=(x-8)(x-9)
x²-11x+30=x²-17x+72
-11x+17x=72-30
6x=42
x=7
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