··8年级数学题

x/x(x+2)+x/(x+2)(x+4)+......+x/(x+8)(x+10)
=1-x/(x+2)+x/2(x+2)-x/2(x+4)+……+x/2(x+8)-x/2(x+10)
=1-x/2(x+2)-x/2(x+10)
=1
所以x/2(x+2)=-x/2(x+10),又因为x不等于0，所以有
2(x+2)=-2(x+10)
解得x=-6.
楼上的，你看看你，拆项，是不是错了？

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

5/(x+10)=1
x+10=5
x=-5