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Simple but rather nice !

Source: Greek olympiad , junior level - 2006, pr - 4

February 25, 2006
algebrafunctiondomainquadraticsquadratic formula

Problem Statement

If x,yx , y are real numbers such that x2+xy+y2=1x^2 + xy + y^2 = 1 , find the least and the greatest value( minimum and maximum) of the expression K=x3y+xy3K = x^3y + xy^3 Babis Sorry !!! I forgot to write that these 4 problems( 4 topics) were JUNIOR LEVEL
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