Question

若m是方程x²+x-1=0的实数根,则代数式m³+2m²+2010的值等于多少

Answer 1

m^3+2m^2+2010

=m^3+m^2-m+m^2+m+2010

=m*(m^2+m-1)+m^2+m-1+2011

=2011