作业帮5x/(x-2)-2=3(x-2)/x
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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
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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
*-----------------------------------------------*| 6 4 X | 8 X X | X X 5 || X X X | X X X | X 7 8 || X X X | X X X | X X X ||---------------+---------------+--------------- || X X X | X X X | 5 1 X || X X X | X 6 X | X X X || 8 X X | 3 5 X | 2 X X ||
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