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

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