已知m²+m-1=0,求m³+2m²+2013的值.

已知m²+m-1=0,求m³+2m²+2013的值.
已知m²+m-1=0,求m³+2m²+2013的值.

已知m²+m-1=0,求m³+2m²+2013的值.
m²+m-1=0
m²+m=1
m³+2m²+2013
=m（m²+m）+m²+2013
=m+m²+2013
=1+2013
=2014

因为m²+m-1=0,则m²+m=1,
m³+2m²+2013=m³+m²+m²+2013
=m(m²+m)+m²+2013
=m+m²+2013
=1+2013
=2014
祝你学习进步！

由m²+m-1=0，得
m²+m=1
m³+2m²+2013
=m(m²+m)+m²
把m²+m=1代人上式，得
m³+2m²+2013
=m(m²+m)+m²+2013
=m×1+m²+2013
=m+m²+2013
=1+2013
=2014