问题
填空题
已知m2+m-1=0,则m3+2m2+2006=______.
答案
∵m2+m-1=0,
∴m2+m=1,
∴m3+2m2+2006,
=m(m2+m)+m2+2006,
=m2+m+2006,
=1+2006,
=2007.
故答案为:2007.
已知m2+m-1=0,则m3+2m2+2006=______.
∵m2+m-1=0,
∴m2+m=1,
∴m3+2m2+2006,
=m(m2+m)+m2+2006,
=m2+m+2006,
=1+2006,
=2007.
故答案为:2007.