2/(x-2)-4*x/(x*x-4)=0

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2/(x-2)-4*x/(x*x-4)=0
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2/(x-2)-4*x/(x*x-4)=0
2/(x-2)-4*x/(x*x-4)=0

2/(x-2)-4*x/(x*x-4)=0
3/(x+2)+4/(x-2)=16/(x*x-4)
3/(x+2)+4/(x-2)=16/(x+2)(x-2)
3(x-2)+4(x+2)=16
7x=14
x=2
当x=2.分式的分母为0,此题无意义

两边乘(x+2)(x-2)
2(x+2)-4x=0
x=2
经检验，x=2时分母x-2=0
是增根，舍去
所以方程无解

2/(x-2)-4*x/(x*x-4)=0
2(x*x-4)-4x(x-2)=0
2xx-8-4xx-8x=0
-2xx-8-8x=0
2xx+8x+8=0
xx+4x+4=0
(x+2)(x+2)=0
x+2=0
x=-2

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