m^2+m-1=0,求m^3+2m^2+2013

问题描述:

m^2+m-1=0,求m^3+2m^2+2013

m^2+m-1=0
m^2+m=1
m^3+2m^2+2013
=m^3+m^2+m^2+2013
=m(m^2+m)+m^2+2013
=m+m^2+2013
=1+2013
=2014