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

问题描述:

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

1/x(x+2)+1/(x+2)(x+4)+……+1/(x+8)(x+10)=5/24(x+10) 1/2*[1/x-1/(x+2)]+1/2*[1/(x+2)-1/(x+4)]+.+1/2*[1/(x+8)-1/(x+10)]=5/24(x+10)1/2*[1/x-1/(x+2)+1/(x+2)-1/(x+4)+.+1/(x+8)-1/(x+10)]=5/24(x+10)1/2...