解方程:x(x-1)/1+x(x+1)/1…+(x+9)(x+10)/1=11?12解方程:x(x-1)/1+x(x+1)/1…+_数学解答

解方程:x(x-1)/1+x(x+1)/1…+(x+9)(x+10)/1=11?12
解方程:x(x-1)/1+x(x+1)/1…+(x+9)(x+10)/1=11/12

人气：374 ℃　时间：2020-03-29 12:58:03

解答

变形为
1/x-1/(x+1)+1/(x+1)-……+1/(x+9)-1/(x+10)=11/12
1/x-1/(x+10)=11/12
x1=-5-1/11*4345^(1/2)
x2=-5+1/11*4345^(1/2)