MathDB

1/(x+1/(y+1/z)) =7/17 (II Soros Olympiad 1995-96 R1 9.2)

Source:

June 2, 2024

Diophantine equationdiophantinenumber theory

Problem Statement

Find the integers

x, y, z

for which

\dfrac{1}{x+\dfrac{1}{y+\dfrac{1}{z}}}=\dfrac{7}{17}