MathDB

JBMO 2010 Shortlist A3

Source: JBMO 2010 Shortlist

June 28, 2017

algebraequationJBMO Shortlist

Problem Statement

Find all pairs

(x,y)

of real numbers such that

|x|+ |y|=1340

and

x^{3}+y^{3}+2010xy= 670^{3}