初一数学已知x^2-5x-200
由x^2-5x-2007=0得
(x-1)^2=3x+2008,(x-2)^2=x+2011,
(x-2)^3-(x-1)^2+1/x-2
=(x-2)(x+2011)-(3x+2008)+1/x-2
=x^2+2009x-4022-3x-2008+1/x-2
=x^2+2006x-6032+1/x
=5x+2007+2006x-6032+1/x
=2011x-4025+1/x,
(x-2)^3-(x-1)^2+1/（x-2）
=x^3-6x^2+12x-8-(x^2-2x+1)+1/(x-2)
=x^3-7x^2+14x-9+1/(x-2)
=(x^2-5x)(x-2)+4x-9+1/(...全部
由x^2-5x-2007=0得
(x-1)^2=3x+2008,(x-2)^2=x+2011,
(x-2)^3-(x-1)^2+1/x-2
=(x-2)(x+2011)-(3x+2008)+1/x-2
=x^2+2009x-4022-3x-2008+1/x-2
=x^2+2006x-6032+1/x
=5x+2007+2006x-6032+1/x
=2011x-4025+1/x,
(x-2)^3-(x-1)^2+1/（x-2）
=x^3-6x^2+12x-8-(x^2-2x+1)+1/(x-2)
=x^3-7x^2+14x-9+1/(x-2)
=(x^2-5x)(x-2)+4x-9+1/(x-2)
=2007(x-2)+4x-9+1/(x-2)
=2011x-4023+1/(x-2)
=(2011x^2-8045x+8047)/(x-2)
=[2011(5x+2007)-8045x+8047]/(x-2)
=(2010x+4044124)/(x-2),
都没有简单的答案。
也许题目有误。收起
