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解分式方程1/x（x-1）+1/x（x-1）+1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+……+1/（x+9）（x+10）＝11/12
题目详情
解分式方程1/x（x-1）+1/x（x-1）+1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+……+1/（x+9）（x+10）＝11/12
▼优质解答
答案和解析
1/x(x-1)+1/x(x+1)+...+1/(x+9)(x+10)=11/12
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
解得x=2，满意请采纳
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
解得x=2，满意请采纳
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