(x+10)分之一+(x+1)(x+2)分之一+(x+2)(x+3)分之一+~+(x+9)(x+10)分之一=2 解方程

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(x+10)分之一+(x+1)(x+2)分之一+(x+2)(x+3)分之一+~+(x+9)(x+10)分之一=2 解方程

(x+10)分之一+(x+1)(x+2)分之一+(x+2)(x+3)分之一+~+(x+9)(x+10)分之一=2 解方程
(x+10)分之一+(x+1)(x+2)分之一+(x+2)(x+3)分之一+~+(x+9)(x+10)分之一=2 解方程

(x+10)分之一+(x+1)(x+2)分之一+(x+2)(x+3)分之一+~+(x+9)(x+10)分之一=2 解方程
即1/(x+10)+1/(x+1)-1/(x+2)+1/(x+2)-1/(x+3)+……+1/(x+9)-1/(x+10)=2
所以1/(x+1)=2
x+1=1/2
x=-1/2


1/(x+10)+1/(x+1)(x+2)+1/(x+2)(x+3)+……+1/(x+9)(x+10)=2
1/(x+10)+1/(x+1)-1/(x+2)+1/(x+2)-1/(x+3)+……+1/(x+9)-1/(x+10)=2
1/(x+10)+1/(x+1)-1/(x+10)=2
1/(x+1)=2
x+1=1/2
x=1/2-1
x=-1/2(-2分之1)

1/(x+10)+1/(x+1)(x+2)+1/(x+2)(x+3)+...+1/(x+9)(x+10)
=1/(x+10)+1/(x+1)-1/(x+2)+1/(x+2)-1/(x+3)+...+1/(x+9)-1/(x+10)
=1/(x+1)=2,
——》x=-1/2。