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

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Posted on December 6, 2009 by sophorsk

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

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Posted on December 5, 2009 by sophorsk

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.

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Posted on December 5, 2009 by sophorsk

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

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