MathDB
2014 Algebra #1: x and y

Source:

February 23, 2014
quadratics

Problem Statement

Given that xx and yy are nonzero real numbers such that x+1y=10x+\frac{1}{y}=10 and y+1x=512y+\frac{1}{x}=\frac{5}{12}, find all possible values of xx.