已知m2+m-1=0,则m3+2m2+2013=_.
问题描述:
已知m2+m-1=0,则m3+2m2+2013=______.
答
∵m2+m-1=0,
∴m2+m=1,
∴m3+2m2+2013,
=m(m2+m)+m2+2013,
=m2+m+2013,
=1+2013,
=2014.
故答案为:2014.