MathDB
Math Prize 2011 Problem 7

Source:

September 19, 2011
quadraticstrigonometryLaTeXgeometry3D geometryalgebra

Problem Statement

If zz is a complex number such that z+z1=3, z + z^{-1} = \sqrt{3}, what is the value of z2010+z2010? z^{2010} + z^{-2010} \, ?