设m²+m=1 求m³+2m²+2005的值

问题描述:

设m²+m=1 求m³+2m²+2005的值


m²+m=1
m³+2m²+2005
=m³+m²+m²+2005
=m(m²+1)+m²+2005
=m×1+m²+2005
=m²+m+2005
=1+2005
=2006