Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem A. 684. (December 2016)

A. 684. Show that there are no rational numbers \(\displaystyle x\) and \(\displaystyle y\) such that

\(\displaystyle x - \frac1x + y - \frac1y = 4. \)

(Korean problem)

(5 pont)

Deadline expired on January 10, 2017.


Statistics:

16 students sent a solution.
5 points:Bukva Balázs, Cseh Kristóf, Lajkó Kálmán, Németh 123 Balázs, Williams Kada.
4 points:Gáspár Attila, Keresztes László, Matolcsi Dávid, Váli Benedek.
2 points:2 students.
1 point:2 students.
0 point:3 students.

Problems in Mathematics of KöMaL, December 2016