Olympiad Training Question On Algebra

An Exercise on Algebra

The question rephrase can be rephrase as follows.

If (x, y) are points on the curve x^3 + y^3 = x -y then (x, y) is always in the interior of the ellipse x^2 + 4y^2 = 1.

Deductive Geometry - Olympiad Training Question

A Deductive Geometry Question involving Circle Properties