Question

已知m的平方加m减1等于0,求m的立方加2m的平方加2009的值?

Answer 1

m^2+m-1=0 m^2+m=1 m^2=1-m m^3+2m^2+2009 =m(1-m)+2m^2+2009 =m+m^2+2009 =1+2009 =2010