Question

已知m2+m-1=0,求m3+2m2+2013

那是m的2次方+m=0，求m的3次方+2m的平方+2013

Answer 1

∵m²+m-1=0
∴m³+m²-m=0
m²+m=1，m³=-m²+m
∴m³+2m²+2013
=-m²+m+2m²+2013
=m²+m+2013
=1+2013
=2014