解方程：x-4/x-5 ➕x-8/x-9=x-5/x-6➕x-7/x-8
1个回答
展开全部
(x-4)/(x-5) + (x-8)/(x-9) = (x-5)/(x-6) + (x-7)/(x-8)
(x-5+1)/(x-5) + (x-9+1)/(x-9) = (x-6+1)/(x-6) + (x-8+1)/(x-8)
1+1/(x-5) + 1+1/(x-9) = 1+1/(x-6) + 1+1/(x-8)
1/(x-5) + 1/(x-9) = 1/(x-6) + 1/(x-8)
1/(x-9) - 1/(x-8) = 1/(x-6) - 1/(x-5)
1/{(x-9)(x-8)} = 1/{(x-6)(x-5)}
(x-9)(x-8) = (x-6)(x-5)
x²-17x+72=x²-11x+30
-6x=-42
x=7
经检验x=7是原方程的解
(x-5+1)/(x-5) + (x-9+1)/(x-9) = (x-6+1)/(x-6) + (x-8+1)/(x-8)
1+1/(x-5) + 1+1/(x-9) = 1+1/(x-6) + 1+1/(x-8)
1/(x-5) + 1/(x-9) = 1/(x-6) + 1/(x-8)
1/(x-9) - 1/(x-8) = 1/(x-6) - 1/(x-5)
1/{(x-9)(x-8)} = 1/{(x-6)(x-5)}
(x-9)(x-8) = (x-6)(x-5)
x²-17x+72=x²-11x+30
-6x=-42
x=7
经检验x=7是原方程的解
已赞过
已踩过<
评论
收起
你对这个回答的评价是？
推荐律师服务：
若未解决您的问题，请您详细描述您的问题，通过百度律临进行免费专业咨询
