olymmath

Putnam 2006 B1

  • Session B

Show that the curve x3+3xy+y3=1x^3 + 3xy + y^3 = 1 contains only one set of three distinct points, AA, BB, and CC, which are vertices of an equilateral triangle, and find its area.

Curated text Kedlaya Putnam archive. Quoted with source.

Solutions

Human solution Solution 1 by Kiran Kedlaya and Lenny Ng

The terms of the source let olymmath link to this solution but not copy it. Read the solution (Kedlaya Putnam archive).

Locator putnam/2006/b1 · Tag 2R6NPJ3F1D · Edit this page on GitHub · Keys: j next, k previous