3/2x=-2
3=-4x
x=-3/4
x/(x-1)+2/(x+1)=1
x(x+1)+2(x-1)=(x-1)(x+1)
x^2+x+2x-2=x^2-1
3x=1
x=1/3
(X+2)/X=(X+5)/(X+1)
X=1
100/(X+3)==200/(X-1)
x=-7
4/x+4/x=1
x=9
1/2+1/(x+3)=(2-x)/(x+3)
x=-3/2
(x+5)/(x+8)=(x+6)/(x+7)
x=-13/2
10/2x=10/x+1/3
x=-15
(x-1)/(x-3)=(x+1)/(x-1)
无解
2/(x-3)=3/(x-3)
无解
3/(x+4)=3/(x-4)
无解
30/(x+2)=20/(x-2)
x=10
20002x+10003x=(2000+1000)9
x=4
x/(4+x)=4/3
x=-16
90/X+120/X=35
X=6
9/x+15/20=1
X=36
80/1.5x+1=80/x+1/3
x=40
80/3x-1/3=5
x=5
900/X+30=600/X
X=-10
1/(x+1)-x^2/(x^2+3x+2)=-1
1/(x+1)-x^2/(x+1)(x+2)=-1
(x+2)/(x+1)(x+2)-x^2(x+1)(x+2)=-1
x+2-x^2=-(x+1)(x+2)
x^2-x-2=x^2+3x+2
4x=-4
x=-1
1.2x-3/x-1=(2x-4/2x+3)+1
(2x-3)/(x-1)=(2x-4+2x+3)/(2x+3)
(2x-3)(2x+3)=(4x-1)(x-1)
4x^2-9=4x^2-5x+1
5x=10
x=2
经检验:x=2是原方程的根.
2.(x2+2xy+y2/x2y+xy2)-(x2-2xy+y2/x2y-xy2)
=(x+y)^2/xy(x+y)-(x-y)^2/xy(x-y)
=(x+y)/xy-(x-y)/xy
=2y/xy
=2/x