若m^2+m-1=0,求m^3+2m^2+2009的值

来源：学生作业帮助网编辑：六六作业网时间：2024/05/29 09:44:04

若m^2+m-1=0,求m^3+2m^2+2009的值若m^2+m-1=0,求m^3+2m^2+2009的值若m^2+m-1=0,求m^3+2m^2+2009的值∵m^2+m-1=0∴m^2+m=1m

若m^2+m-1=0,求m^3+2m^2+2009的值
若m^2+m-1=0,求m^3+2m^2+2009的值

若m^2+m-1=0,求m^3+2m^2+2009的值
∵m^2+m-1=0
∴m^2+m=1
m^3+2m^2+2009
=m^3+m^2+m^2+2009
=m(m^2+m)+m^2+2009
=m+m^2+2009
=1+2009
=2010