Junior Balkan MO 1999 - Problem 1
Dodao/la:
arhiva27. listopada 2023. Let $a,b,c,x,y$ be five real numbers such that $a^3 + ax + y = 0$, $b^3 + bx + y = 0$ and $c^3 + cx + y = 0$. If $a,b,c$ are all distinct numbers, prove that their sum is zero.
Izvor: Juniorska balkanska matematička olimpijada 1999.