Mathematical and Physical Journal
for High Schools
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Problem C. 1292. (April 2015)

C. 1292. Solve the equation \(\displaystyle \big(3\sqrt{3}\,\big)^n- \big(2\sqrt{2}\,\big)^n =2^n+3^n+\sqrt{6}^{\,n}\) on the set of positive integers.

(5 pont)

Deadline expired on May 11, 2015.


Statistics:

29 students sent a solution.
5 points:Bereczki Zoltán, Egyházi Anna, Farkas Dóra, Fehér Balázs, Fényes Balázs, Kasó Ferenc, Krisztián Jonatán, Mészáros 01 Viktória, Szűcs Dorina, Vida Máté Gergely.
4 points:Bodonhelyi Anna, Bottlik Judit, Erdei Ákos, Fülöp Erik, Kósa Szilárd, Pap-Takács Mónika, Sándor Gergely, Sudár Ákos, Szücs Patrícia, Telek Máté László, Török Réka , Viharos Loránd Ottó.
3 points:5 students.
2 points:2 students.

Problems in Mathematics of KöMaL, April 2015