MathDB

Putnam 2006 B1

Source:

December 4, 2006

Putnamquadraticsgeometry3D geometryfunctionStanfordcollege

Problem Statement

Show that the curve

x^{3}+3xy+y^{3}=1

contains only one set of three distinct points,

A,B,

and

C,

which are the vertices of an equilateral triangle.