已知m²+m-1=0 则m³+2m²+2004=( )

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已知m²+m-1=0 则m³+2m²+2004=( )

已知m²+m-1=0 则m³+2m²+2004=( )
已知m²+m-1=0 则m³+2m²+2004=( )

已知m²+m-1=0 则m³+2m²+2004=( )
m²+m-1=0
m²+m=1
m³+2m²+2004
=m³+m²+m²+2004
=m(m²+m)+m²+2004
=m+m²+2004
=1+2004
=2005


m^2+m-1=0,所以:m^2+m=1
所以:m^3+2m^2+2004=m(m^2+m)+m^2+2004=m+m^2+2004=1+2004=2005