MathDB

2014 Team #13

Source:

July 1, 2022

2014team test

Problem Statement

Let

\alpha,\beta,\gamma

be the three real roots of the polynomial

x^3-x^2-2x+1=0

. Find all possible values of

\tfrac{\alpha}{\beta}+\tfrac{\beta}{\gamma}+\tfrac{\gamma}{\alpha}