Showing posts with label cyclic symmetry. Show all posts
Showing posts with label cyclic symmetry. Show all posts

Thursday, April 23, 2015

Find The Area Of The Equilateral Triangle

Show that the curve $x^3+3xy+y^3=1$ has only one set of three distinct points, $P$, $Q$, and $R$ which are the vertices of an equilateral triangle, and find its area.