(x+8)/(x+7)-(x+12)/(x+11)=x/(x-1)-(x+4)/(x+3)
1+1/(x+7)-1-1/(x+11)=1+1/(x-1)-1-1/(x+3)
1/(x+7)-1/(x+11)=1/(x-1)-1/(x+3)
(x+11-x-7)/[(x+7)(x+11)]=(x+3-x+1)/[(x-1)(x+3)]
4/[(x+7)(x+11)]=4/[(x-1)(x+3)]
∴(x+7)(x+11)=(x-1)(x+3)
x²+18x+77=x²+2x-3
16x=-80
x=-5
经检验，是原方程的根。
=1/（x+3）+1/（x+7）=1/（x-1）+1/（x+11）
（2x+10）/（x+3）（x+7）=（2x+10）/（x-1）（x+11）
分母不相等
所以2x+10=0
x=-5
初二分式方程x+3\/x+4+x+8\/x+9=x+4\/x+5+x+7\/x+8
解：(x+3)\/(x+4)+(x+8)\/(x+9)=(x+4)\/(x+5)+(x+7)\/(x+8)1-1\/(x+4)+1-1\/(x+9)=1-1\/(x+5)+1-1\/(x+8)1\/(x+4)+1\/(x+9)=1\/(x+5)+1\/(x+8)(x+9+x+4)\/[(x+4)(x+9)]=(x+8+x+5)\/[(x+5)(x+8)](2x+13)\/(x^2+13x+36)=(2x+13)...
初二数学 解方程 x+2\/x+1+x+8\/x+7=x+6\/x+5+x+4\/x+3
首先由题意得x+1≠0，x+7≠0，x+5≠0，x+3≠0，即x≠-1，x≠-7，x≠-5，x≠-3，则先简化方程 (x+1+1)\/(x+1)+(x+7+1)\/(x+7)=(x+5+1)\/(x+5)+(x+3+1)\/(x+3)即1+1\/(x+1)+1+1\/(x+7)=1+1\/(x+5)+1+1\/(x+3)1\/(x+1)+1\/(x+7)=1\/(x+5)+...
解方程:(x+3)\/(x+4)+(x+8)\/(x+9)=(x+4)\/(x+5)+(x+7)\/(x+8)
变为 :（x＋3）／（x＋4）-(x＋4)／(x＋5）=（x＋7）／（x＋8）-(x＋8)／(x＋9)(x^2+8x+15-x^2-8x-16)\/(x+4)(x+5)=(x^2+16x+63-x^2-16x-64)\/(x+8)(x+9)-1\/(x+4)(x+5)=-1\/(x+8)(x+9)(x+4)(x+5)=(x+8)(x+9)x^2+9x+20=x^2+17x+72...
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 ...
解方程:(x+1\/x+2)+(x+6\/x+7)=(x+2\/x+3)+(x+5\/x+6)
解：原方程化为1-1 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+3\/x+2-x+5\/x+4=x+7\/x+6-x+9\/x+8 请写的容易懂 急!!
:(x+3)\/(x+2)-(x+5)\/(x+4)=(x+7)\/(x+6)-(x+9)\/(x+8)1+1\/(x+2)-1-1\/(x+4)=1+1\/(x+6)-1-1\/(x+8)1\/(x+2)-1\/(x+4)=1\/(x+6)-1\/(x+8)2\/(x+2)(x+4)=2\/(x+6)(x+8)2(x+2)(x+4)=2(x+6)(x+8)(x+6)(x+8)=(x+2)(x+4)x^2...
(x+2\/x+1)-(x+4\/x+3)=(x+6\/x+5)-(x+8\/x+7)求过程
很明显(x+2\/x+1)=1+(1\/x+1),同理原式可化简为(1\/x+1)-(1\/x+3)=(1\/x+5)-(1\/x+7)通分化简得x²+4x+3=x²+12x+35,可得x=﹣8
解方程x+1\/x+2+x+8\/x+7=x+2\/x+3+x+7\/x+6
\/[(x+7)(x+6)]-1\/[(x+2)(x+3)]=1\/[(x+7)(x+6)]-(x+7)(x+6)=(x+2)(x+3)-x²-13x-42=x²+5x+6 2x²+18x+48=0 x²+9x+24=0 ∵Δ=9²-4×24=81-96<0 ∴方程x²+9x+24=0无实数解，所以原方程无实数解。不会无解吧 ...
...急 方程(x+1)\/(x+2) + (x+8)\/(x+9)=(x+2)\/(x+3)+(x+7)\/(x+8)的...
=(x+2)(x+2)(x+8)(x+9)+(x+7)(x+2)(x+9)(x+3)合并同类项 (x+1)(x+9)(x+3)(x+8)-(x+2)(x+2)(x+8)(x+9）=-(x+8)(x+2)(x+3)(x+8)+（x+7)(x+2)(x+9)(x+3) （x+9)(x+8)=(x+2)(x+3) 12x=66 x=11\/2 ...
解方程:x+4分之1+8分之3=12分之 11
x+4分之1+8分之3=12分之 11 x=12分之 11-4分之1-8分之3 x=24分之7
