MathDB

Greece Junior National Olympiad 1997-1998

Source:

August 10, 2015

algebra

Problem Statement

Find all he positive integers

x, y, z, t, w

, such as:

x+\frac{1}{y+\frac{1}{z+\frac{1}{t+\frac{1}{w}}}}=\frac{1998}{115}