x+2
+1-
1
x+7
=1-
1
x+3
-
1
x+6
=
1
x+2
-
1
x+3即1
(x+6)(x+7)
=
1
(x+2)(x+3)
，
所以（x+6）（x+7）=（x+2）（x+3）．
x=-9
2
．
经检验x=-9
2
是方程的根
解方程:(x+1\/x+2)+(x+6\/x+7)=(x+2\/x+3)+(x+5\/x+6)
x+3 - 1 x+6 = 1 x+2 - 1 x+3即1 (x+6)(x+7)= 1 (x+2)(x+3)，所以（x+6）（x+7）=（x+2）（x+3）．x=-9 2 ．经检验x=-9 2 是方程的根
解方程难题:(x+1)\/(x+2)+(x+6)\/(x+7)=(x+2)\/(x+3)+(x+5)\/(x+6)
解方程难题：(x+1)\/(x+2)+(x+6)\/(x+7)=(x+2)\/(x+3)+(x+5)\/(x+6)。解这道七年级竞赛题目，其实并不难，分母都比分子大一。
解方程x+1\/x+2+x+6\/x+7=x+2\/x+3+x+5\/x+6
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+6)-1\/(x+7)=1\/(x+2)-1\/(x+3)1\/(x+6)(x+7)=1\/(x+2)(x+3)(x+6)(x+7)=(x+2)(x+3)13x+42=5x+6 8x=-36 x=-4.5 经检验x=-4.5是方程的根...
解分式方程:(x+1)\/(x+2)+(x+6)\/(x+7)=(x+2)\/(x+3)+(x+5)\/(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，...
解方程:(x+1)\/(x+2)+(x+6)\/(x+7)=(x+2)\/(x+3)+(x+5)\/(x+6),为什么必须...
一样可以解出来。(2x+9)\/(x^2+9x+14)=(2x+9)\/(x^2+9x+18)移项提取公因式：(2x+9)[1\/(x^2+9x+14)-1\/(x^2+9x+18)]=0 则有2x+9=0 =>x=-9\/2 或：1\/(x^2+9x+14)-1\/(x^2+9x+18)=0，通分后得：4\/【(x^2+9x+14)*(x^2+9x+18)】=0 此方程无解(此处判断...
x+1\/x+2 + x+16\/x+7 =x+2\/x+3 + x+5\/x+6 多少了!要过程!!
(X+1\/X+2)-(X+2\/X+3)=(X+5\/X+6)-(X+6\/X+7)(X方+4X+3-X方-4X-4)\/(X方+5X+6)=(X方+12X+35-X方-12X-36)\/(X方+13X+42)X方+5X+6=X方+13X+42 -8X=36 X=-9\/2
分式方程(x+1)\/(x+2)+(x+6)\/(x+7)=(x+2)\/(x+3)+(x+5)\/(x+
拆项： 1-1\/(x+2)+1-1\/(x+7)=1-1\/(x+3)+1-1\/(x+6)即： 1\/(x+2)+1\/(x+7)=1\/(x+3)+1\/(x+6)通分： (2x+9)\/(x+2)(x+7)=(2x+9)\/(x+3)(x+6)得：2x+9=0, 或(x+2)(x+7)=(x+3)(x+6)前者得x=-4.5, 后者无解 经检验,x=-4.5为原方程的解...
解方程:(x+1)\/(x+2)+(x+6)\/(x+7)=(x+2)\/(x+3)+(x+5)\/(x+6)
解:(1-1\/x+2)+(1-1\/x+7)=(1-1\/x+3)+(1-1\/x+6)整理得:1\/x+2 + 1\/x+7 = 1\/x+3 + 1\/x+6 1\/x+2 - 1\/x+3 = 1\/x+6 - 1\/x+7 1\/(x+2)(x+3) = 1\/(x+6)(x+7)(x+6)(x+7)=(x+2)(x+3)所以 x= -9\/2 ...
(x+1)\/(x+2)+(x+6)\/(x+7)=
\/(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)(x+7+x+2)\/(x+2)(x+7)=(x+6+x+3)\/(x+3)(x+6)(2x+9)\/(x+2)(x+7)=(2x+9)\/(x+3)(x+6)所以2x+9=0 x=-4.5 经检验,x=-4.5是原方程得解 ...
初二数学 解分式方程:X+2\/X+1 +X+8\/X+7 = X+6\/X+5 + X+4\/X+3
(x+2)\/(x+1)+(x+8)\/(x+7)=(x+6)\/(x+5)+(x+4)\/(x+3)(x+2)\/(x+1))-(x+4)\/(x+3))=((x+6)\/(x+5)-(x+8)\/(x+7)通分,2\/（x+1）（x+3）=2\/(x+5)(x+7)(x+1)(x+3)=(x+5)(x+7)x=-3\/2 ...
