MathDB

5

Part of 1983 Czech and Slovak Olympiad III A

Problems(1)

Inequality

Source: Czech and Slovak Olympiad 1983, National Round, Problem 5

4/10/2020
Find all pair (x,y)(x,y) of positive integers satisfying ∣xy−2∣<1y3.\left|\frac{x}{y}-\sqrt2\right|<\frac{1}{y^3}.
Inequalityalgebranational olympiadinequalities