Processing math: 100%

[Sulution] Cute problem with a+b+c = 2022

 The problem was here.


The goal was to minimize manual algebra.


Let ab+bc+ac=s. Then abc=2022s and thus a,b,c are roots of the polynomial


t32022t2+st2022s=(t2022)(t2+s)


Thus we can assume a=2022,b=c and thus the answer is 20222023.

No comments:

Post a Comment