新天龙八部天下为棋:1/x(x-1)+1/x(x+1)+1/(x+1)(x+20........+1/(x+9)(x+10)=11/12

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知道的回答!

原式=1/[x-1]-1/x+1/x-1/[x+1]+1/[x+1]-1/[x+2]+...+1/[x+9]-1/[x+10]=11/12
1/[x-1]-1/[x+10]=11/12
11/[x-1][x+10]=11/12
[x-1][x+10]=12

x=2或x= -11

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