m^2+m-1=0,求m^3+2m^2+2012的值_数学解答

m^2+m-1=0,求m^3+2m^2+2012的值

人气：219 ℃　时间：2020-03-25 01:29:41

解答

因为m^2+m-1=0
所以m^2+m=1
所以m^3+2m^2+2012
=(m^3+m^2)+m²+2012
=m(m²+m)+m²+2012
=m*1+m²+2012
=m+m²+2012
=1+2012
=2013