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解方程:1/x+1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+……+1/(x+9)(x+10)=

来源:学生作业帮 编辑:神马作文网作业帮 分类:数学作业 时间:2024/11/21 02:08:25
解方程:1/x+1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+……+1/(x+9)(x+10)=0
解方程:1/x+1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+……+1/(x+9)(x+10)=
1/x+1/x-1/(x+1)+1/(x+1)-1/(x+2)+.+1/(x+9)-1/(x+10)=0
2/x-1/(x+10)=0
2(x+10)-x=0
x=-20
再问: 是不是跳了很多步啊?怎么做的不懂,能讲解一下吗?
再答: 1/x(x+1)=1/x-1/(x+1)你想办法看懂这步