Question 2

Find all numbers  x ∈ Z  for which the number:       x^4+ x^3+ x^2+ x +1          is a perfect square.

Question 1

Denote by a,b,c the lengths of the sides of a triangle.  Prove that:
a^2(b + c − a)+ b^2(c + a − b)+ c^2(a + b − c) ≤ 3abc.

Mathematics blog

Welcome everyone !

This blog was created for mathematical purposes. It can be used for discussion, post problems and answers. I will try to update new questions which are going to be taken from International Mathematical Contest, for example AMC 12, IMO, APMO, Abel etc.

Have fun and enjoy !!!

Sophors