题目内容
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.
∴m2+m=1,
∴m3+2m2+2006,
=m(m2+m)+m2+2006,
=m2+m+2006,
=1+2006,
=2007.
故答案为:2007.
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