Vrijeme: 08:31

Imam 99 problema, no koliko rješenja? | I got 99 problems, but what about solutions? #1

Ako za \forall n \in \mathbb{N}, f(n) predstavlja broj realnih rješenja jednadžbe

x^2 - nx + 1022121 = 0

odredi zbroj \sum_{n=2}^{4044} f(n).

Let f(n) be the number of real solutions to equation x^2 - nx + 1022121 = 0,  \forall n \in \mathbb{N}
for \forall n \in \mathbb{N}
Determine \sum_{n=2}^{4044} f(n).