x方-x-1=0,求-x立方+2x方+2008
问题描述:
x方-x-1=0,求-x立方+2x方+2008
答
x^2-x-1=0
x^2-x=1
-x^3+2x^2+2008
=(-x^3+x^2)+x^2+2008
=-x(x^2-x)+x^2+2008
=-x+x^2+2008
=1+2008
=2009