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

问题描述:

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

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是不是跳了很多步啊?怎么做的不懂,能讲解一下吗?1/x(x+1)=1/x-1/(x+1)你想办法看懂这步