问题描述: 解方程:1/x(x+2)+1/(x+2)(x+4)+...1/(x+8)(x+10)=5/24. 1个回答 分类:数学 2014-11-11 问题解答: 我来补答 1/x(x+2)+1/(x+2)(x+4)+...1/(x+8)(x+10)=5/24½×[1/x-1/(x+2)]+½[1/(x+2)-1/(x+4)]+……+½[1/(x+8)-1/(x+10)]=5/241/x-1/(x+2)+1/(x+2)-1/(x+4)+……+1/(x+8)-1/(x+10)=5/121/x-1/(x+10)=5/1212(x+10)-12x=5x(x+10)12x+120-12x=5x²+50x5x²+50x-120=0x²+10x-24=0(x-4)(x-6)=0x1=4, x2=6 展开全文阅读