5x/(x-2)-2=3(x-2)/x

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5x/(x-2)-2=3(x-2)/x5x/(x-2)-2=3(x-2)/x5x/(x-2)-2=3(x-2)/x5x/(x-2)-2=3(x-2)/x通分得:5x^2-2x(x-2)=3(x-2)^

5x/(x-2)-2=3(x-2)/x
5x/(x-2)-2=3(x-2)/x

5x/(x-2)-2=3(x-2)/x
5x/(x-2)-2=3(x-2)/x
通分得:
5x^2-2x(x-2)=3(x-2)^2
即5x^2-2x^2+4x=3x^2-12x+12
所以16x=12
所以x=3/4
检验下,不是增根,符合
如果不懂,祝学习愉快!

x²-5x-2014=0
x²-5x=2014
是这个吗
[(x-2)³-(x-1)²+1]/(x-2)
=(x-2)²-[(x-1)²-1]/(x-2)
=(x-2)²-[(x-1)-1][(x-1)+1]/(x-2)
=(x-2)²-x(x-2)/(x-2)
=x²-4x+4-x
=x²-5x+4
=2014+4
=2018

5x/(x-2)-2=3(x-2)/x
[5X-2(X-2)]/(X-2)=(3X-6)/X
(3X+4)/(X-2)=(3X-6)/X
(3X+4)X=(X-2)(3X-6)
3X²+4X=3X²-12X+12
16X=12
X=3/4