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：作业帮时间：2024/11/15 10:18:36

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