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1

Part of 2006 Indonesia MO

Problems(1)

Pairs of real numbers

Source: Indonesia Mathematics Olympiad 2006 Day 1 Problem 1

6/2/2008
Find all pairs (x,y) (x,y) of real numbers which satisfy x^3\minus{}y^3\equal{}4(x\minus{}y) and x^3\plus{}y^3\equal{}2(x\plus{}y).
algebra proposedalgebra