已知m2+m-1=0,那么m³+2m²+2012=?_数学解答

已知m2+m-1=0,那么m³+2m²+2012=?

人气：290 ℃　时间：2020-02-06 03:24:08

解答

m2+m-1=0
m²+m=1
m³+2m²+2012
=m³+m²+m²+2012
=m(m²+m)+m²+2012
=m+m²+2012
=1+2012
=2013