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