设m^2+m-1=0,求m^3+2m+2010的值
问题描述:
设m^2+m-1=0,求m^3+2m+2010的值
答
m^2+2+m-3=0
m^2+2=3-m
m(m^2+2)+2010=3m-m^2+2010
3m-(1-m)+2010=4m+2009
答
m^2+m-1=0
m^2+m=1
写错了吧,该是m^3+2m^2+2010吧
m^3+2m^2+2010
=m^3+m^2+m^2+2010
=m(m^2+m)+m^2+2010
=m+m^2+2010
=1+2010
=2011