解方程1/(xx+x)+1/(xx+3x+2)+1/(xx+5x+6)+1/(xx+7x+12)+1/(xx+9x+20

来源：学生作业帮编辑：百度作业网作业帮分类：数学作业时间：2024/04/27 21:30:00

解方程1/(xx+x)+1/(xx+3x+2)+1/(xx+5x+6)+1/(xx+7x+12)+1/(xx+9x+20)=5/(xx+11x-708）

方程左边1/(xx+x)+1/(xx+3x+2)+1/(xx+5x+6)+1/(xx+7x+12)+1/(xx+9x+20)对分母因式分解得
1/x（x+1)+1/（x+1）(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)+1/(x+4)(x+5)
=1/x-1/(x+1)+1/（x+1）-1/(x+2)+1/(x+2)-1/(x+3)+1/(x+3)-1/(x+4)+1/(x+4)-1/(x+5)
=1/x-1/(x+5)
=5/x(x+5)
所以原方程可化简得
5/x(x+5)=5/(xx+11x-708）
方程两边同乘以最简公分母得xx+11x-708=x(x+5)
解得x=118
经检验得：x=118是原方程的解

解方程1/(xx+x)+1/(xx+3x+2)+1/(xx+5x+6)+1/(xx+7x+12)+1/(xx+9x+20 已知：3x=xx-x+1求（xxxx+xx+1）分之xx 解方程：2-xx-3=1-13-x． XXX*XX=XX*XX=3624,X内填写1-9,数字不能重复已知x/(xx+x+1)=a,求xx/(xxxx+xx+1)的值 xxx+xx+x+1求x^ 2008 解分式方程（1）2x+1-xx 已知XX+X+1=0,求XXX+2XX+2X+3的值已知x（x+1)-(xx+y)=3,求(xx+yy)/2-xy的值 x(x+1)-(xx+y)=-3,求(xx+yy)/2-xy的值已知xx+x-1=0,求:xx+1/xx,xxxx+1/xxxx 词语接龙绿叶-叶子-XX-XX-XX 角X-XX-XX-XX-XX