【急急急】数学题分式方程：

来源：百度知道 编辑：UC知道 时间：2024/06/14 00:17:15
出一道和这道题同一类型的：

（x+2分之x+1）+（x+7分之x+6）=（x+3分之x+2）+（x+6分之x+5）

出一道同类型的、谢谢、、急用

(x+1)/(x+2)+(x+6)/(x+7)=(x+2)/(x+3)+(x+5)/(x+6)
1-1/(x+2)+1-1/(x+7)=1-1/(x+3)+1-1/(x+6)
-1/(x+2)-1/(x+7)=-1/(x+3)-1/(x+6)
1/(x+2)+1/(x+7)=1/(x+3)+1/(x+6)
1/(x+2)-1/(x+3)=1/(x+6)-1/(x+7)
(x+3-(x+2))/(x+2)(x+3)=(x+7-(x+6))/(x+6)(x+7)
1/(x+2)(x+3)=1/(x+6)(x+7)
(x+2)(x+3)=(x+6)(x+7)
x^2+5x+6=x^2+13x+42
8x=-36
x=-9/2
经检验，x=-9/2是方程的根。

(x+2)/(x+1)-(x+4)/(x+3) =(x+6)/(x+5) -(x+8)/(x+7)
1+1/(x+1)-[1+1/(x+3)]=1+1/(x+5)-[1+1/(x+7)]
1/(x+1)-1/(x+3)=1/(x+5)-1/(x+7)
(x+3-x-1)/[(x+1)(x+3)]=(x+7-x-5)/[(x+5)(x+7)]
(x+1)(x+3)=(x+5)(x+7)
x^2+4x+3=x^2+12x+35
8x=-32
x=-4

x+2分之x+1）+（x+8分之x+7）=（x+3分之x+2）+（x+7分之x+6）