设m²﹢2m﹢1=0,求m³﹢2m²﹢2008的值

问题描述:

设m²﹢2m﹢1=0,求m³﹢2m²﹢2008的值

因为:m²﹢2m﹢1=0
则:(m+1)²=0,
m+1=0
m=-1
所以,
m³﹢2m²﹢2008
=(-1)³+2×1²+2008
=-1+2+2008
=2009