Mathematical and Physical Journal
for High Schools
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Problem C. 1361. (May 2016)

C. 1361. In the equation \(\displaystyle ax^2+bx+c=0\), the positive integers \(\displaystyle a\), \(\displaystyle b\), \(\displaystyle c\), in this order, form an arithmetic progression. The roots of the equation are also integers. What are the values of the two roots?

Proposed by Á. Kertész

(5 pont)

Deadline expired on June 10, 2016.


Statistics:

58 students sent a solution.
5 points:Bukor Benedek, Csorba Benjámin, Dávid Levente, Édes Lili, Fekete Balázs Attila, Geretovszky Anna, Horváth András János, Kasó Ferenc, Kiss Vivien Mercédesz, Kocsis Júlia, Kormányos Hanna Rebeka, Marozsák Tóbiás , Márton Anna, Molnár 410 István, Nagy 911 Viktória, Nagymihály Panka, Németh Csilla Márta, Tatai Mihály, Weisz Máté, Zsombó István.
4 points:Fajszi Bulcsú, Fülöp Ágota, Garamvölgyi István Attila, Gera Dóra, Inges Zénó, Kósa Szilárd, Lapu Kolos, Mályusz Attila, Mikulás Zsófia, Páhoki Tamás, Póta Balázs, Richlik Róbert, Sal Dávid, Sudár Ákos, Szajkó Gréta, Szilágyi Éva, Tóth 111 Máté , Varga 157 Kristóf.
3 points:7 students.
2 points:6 students.
1 point:2 students.
0 point:5 students.

Problems in Mathematics of KöMaL, May 2016