Question

已知m的二次方加m减1等于0,则m的三次方加2m的平方加2001等于?

Answer 1

m²+m-1=0

所以m²=1-m

所以

m³+2m²+2001

=m(1-m)+2m²+2001

=m²+m+2001

=1+2001

=2002