已知m²+m=1,则m³+2m²+2004=?

来源：学生作业帮助网编辑：六六作业网时间：2024/12/29 18:40:19

已知m²+m=1,则m³+2m²+2004=?已知m²+m=1,则m³+2m²+2004=?已知m²+m=1,则m³+2

已知m²+m=1,则m³+2m²+2004=?
已知m²+m=1,则m³+2m²+2004=?

已知m²+m=1,则m³+2m²+2004=?
已知m²+m=1,
则m³+2m²+2004
=m(m²+m)+m²+2004
=m+m²+2004
=1+2004
=2005

m^2+m-1 =0
m^3+m^2-m =0
(m^3 + 2m^2 +2004) -m^2-m-2004=0
m^3 + 2m^2 +2004 =m^2+m+2004
=m^2+m-1+2005
=2005