MathDB
Inequality

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

April 10, 2020
Inequalityalgebranational olympiadinequalities

Problem Statement

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