Hitro je Petar pojurio do druge razine kako bi vidio što ga tamo čeka.Vjetar je puhao na cijelom otoku, a pogotovo je bio jak u ovom dijelu labirinta.
A pred Petrom je bio već spreman izazov.
Riješi sljedeću jednadžbu za nenegativne cijele brojeve 
i 
! 
Pomozite Petru riješiti ovaj zadatak. Kao odgovor na ovo pitanje upišite zbroj svih rješenja.
Having completed the last task, Peter contiuned on to the next oneVery strong was the wind in this maze, causing Peter many troubles
And then at last came Peter to his next challenge
Requesting, the task was, for the nonnegative integer solutions of the following equation:
Peter can't do this without your help. Solve the eqaution and as a solution write the sum of all nonegative integer solutions!
[lang=hr]
\emph{Hitro je Petar pojurio do druge razine kako bi vidio što ga tamo čeka.}
\emph{Vjetar je puhao na cijelom otoku, a pogotovo je bio jak u ovom dijelu labirinta.}
\emph{A pred Petrom je bio već spreman izazov.}
\emph{Riješi sljedeću jednadžbu za nenegativne cijele brojeve $x$ i $y$!}
$$x^4 y - 296 x^4 + x^3 y - 296 x^3 + x^2 y - 296 x^2 + x y - 296 x + y - 200 = 97$$
Pomozite Petru riješiti ovaj zadatak. Kao odgovor na ovo pitanje upišite zbroj svih rješenja.
[/lang]
[lang=en]
\emph{Having completed the last task, Peter contiuned on to the next one}
\emph{Very strong was the wind in this maze, causing Peter many troubles}
\emph{And then at last came Peter to his next challenge}
\emph{Requesting, the task was, for the nonnegative integer solutions of the following equation:}
$$x^4 y - 296 x^4 + x^3 y - 296 x^3 + x^2 y - 296 x^2 + x y - 296 x + y - 200 = 97$$
Peter can't do this without your help. Solve the eqaution and as a solution write the sum of all nonegative integer solutions!
[/lang]
