Question

初中数学题：（x+2/x+1）—（x+4/x+3)=(x+6/x+5)—(x+8/x+7）

我快疯了

Answer 1

（x+2/x+1）—（x+4/x+3)=(x+6/x+5)—(x+8/x+7） -2/x-2=-2/x-2 x为不等于0的任意数

Answer 2

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