Problem B. 4705. (April 2015)
B. 4705. Let \(\displaystyle p\) denote an odd prime number. Show that the equation \(\displaystyle x^2 + px = y^2\) has exactly one solution on the set of pairs of positive integers.
Suggested by: B. Németh, Budapest
(4 pont)
Deadline expired on May 11, 2015.
Statistics:
96 students sent a solution. 4 points: 54 students. 3 points: 9 students. 2 points: 6 students. 1 point: 11 students. 0 point: 16 students.
Problems in Mathematics of KöMaL, April 2015