解方程1/x(x+2)+1/(x+2)(x+4)+……+1/(x+8)(x-10)=5/24

问题描述:

解方程1/x(x+2)+1/(x+2)(x+4)+……+1/(x+8)(x-10)=5/24

题目应是1/x(x+2)+1/(x+2)(x+4)+……+1/(x+8)(x+10)=5/241/2( 1/x-1/(x+2)+1/(x+2)-1/(x+4)+……+1/(x+8)-1/(x+10))=5/241/x-1/(x+10)=5/1212*(x+10-x)=5x(x+10)24=x^2+10xx^2+10x-24=0(x-2)(x+12)=0x=2 或x=-12...