已知m²+m-1=0,求m³+2m²+2009的值

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已知m²+m-1=0,求m³+2m²+2009的值
已知m²+m-1=0,求m³+2m²+2009的值

已知m²+m-1=0,求m³+2m²+2009的值
m^2+m=1
m^3+2m^2+2009
=m(m^2+m)+m^2+2009
=m^2+m+2009
=1+2009
=2010