已知m²+m-1=0 求m三次方+2m²+2009的值

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已知m²+m-1=0求m三次方+2m²+2009的值已知m²+m-1=0求m三次方+2m²+2009的值已知m²+m-1=0求m三次方+2m²

已知m²+m-1=0 求m三次方+2m²+2009的值
已知m²+m-1=0 求m三次方+2m²+2009的值

2010

m^2+m-1=0
m^2+m=1
m^3+2m^2+2009
=m(m^2+2m)+2009
=m(1+m)+2009
=1+2009
=2010