已知x²-5x-1997=0 求代数式(x-2)³-(x-1)²+1/x-2

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已知x²-5x-1997=0 求代数式(x-2)³-(x-1)²+1/x-2
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已知x²-5x-1997=0 求代数式(x-2)³-(x-1)²+1/x-2
已知x²-5x-1997=0 求代数式(x-2)³-(x-1)²+1/x-2

已知x²-5x-1997=0 求代数式(x-2)³-(x-1)²+1/x-2
(x-2)³-(x-1)²+1/x-2
=(x-2)³-(x-2+1)²+1/x-2
=(x-2)³-(x-2)^2-2(x-2)-1+1/x-2
=(x-2)³-(x-2)^2-2(x-2)/x-2
=(x-2)^2-(x-2)-2
=x^2-4x+4-x
=x^2-5x+4 x²-5x-1997=0
=2001