已知m^2+m-1=0,那么m^4+2m^3-m-2009=
问题描述：
已知m^2+m-1=0,那么m^4+2m^3-m-2009=
答
由m^2+m-1=0得,m^2+m=1
(m^2+m)^2=m^4+2m^3+m^2
所以m^4+2m^3-m-2009
=（m^2+m)^2-m^2-m-2009
=（m^2+m)^2-(m^2+m)-2009
=1-1-2009
=-2009