MathDB

2013 Team #1: ab-Algebra Bash

Source:

February 18, 2013

Problem Statement

Let

a

and

b

be real numbers such that

\frac {ab}{a^2 + b^2} = \frac {1}{4}

. Find all possible values of

\frac {|a^2-b^2|}{a^2+b^2}