初中不能复读:求助解方程

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1/(x+1)(x+2)+1/(x+2)(x+3)+…+1/ (x+99)(x+100)+1/(x+100)=2004/2005

解:1/(x+1)(x+2)+1/(x+2)(x+3)+…+1/(x+99)(x+100)+1/(x+100)=2004/2005
应用:1/(x+1)(x+2)=1/(x+1)-1/(x+2)将方程化简为:1/(x+1)=2004/2005所以x=1/2004

1/2004
1/(x+1)(x+2)=1/(x+1)-1/(x+2)

一楼楼主的做法是正确的!!

1/2004
1/(x+1)(x+2)=1/(x+1)-1/(x+2)

1/2004

1/2004