已知m·m+m-1=0,则m^3+2m^2+2004=?
问题描述:
已知m·m+m-1=0,则m^3+2m^2+2004=?
答
m^2+m-1=0 m^2+m=1 m^3+2m^2+2004 =(m^3+m^2)+m^2+2004 =m(m^2+m)+m^2+2004 =m+m^2+2004 =1+2004 =2005
已知m·m+m-1=0,则m^3+2m^2+2004=?
m^2+m-1=0 m^2+m=1 m^3+2m^2+2004 =(m^3+m^2)+m^2+2004 =m(m^2+m)+m^2+2004 =m+m^2+2004 =1+2004 =2005