已知m²+m-1=0,则m³+2m²+2004=?

来源：学生作业帮助网编辑：作业帮时间：2024/05/03 02:19:48

已知m²+m-1=0,则m³+2m²+2004=?
已知m²+m-1=0,则m³+2m²+2004=?

已知m²+m-1=0,则m³+2m²+2004=?
m²+m-1=0得出m²+m=1
m²+m-1=0两边同乘以m,得
m³+m²-m=0
m³+m²=m
m³+2m²+2004
=m³+m²+m²+2004
=m+m²+2004
=1+2004
=2005