Question

OLYMPIAD THREAD .
Questions On Comments

Answer 1

1. The numbers 1, 2, . . . , 5n are divided into two disjoint sets. Prove that these
sets contain at least n pairs (x, y), x > y, such that the number x -y is also an
element of the set which contains the pair.

Answer 2

2.
(x + l)(x + 2) (x + 3)^2 (X + 4) (x + 5) = 360
Solve for x in complex numbers