已知m²+m-1=0,则代数式m³+2m²+2009的值_数学解答

已知m²+m-1=0,则代数式m³+2m²+2009的值

人气：230 ℃　时间：2019-10-01 08:19:34

解答

m²+m-1=0
两边同*m,得
m³+m²-m=0
m³+2m²+2009=(m³+m²-m)+m²+m+2009
=m²+m+2009
=1+2009
=2010