Number theory · Divisibility · Divisors · Diophantine equations
Find all pairs of natural numbers \(a\) and \(b\) that satisfy the equation
\[ a^2 - 5ab + 24 = 0 . \]
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), odbirno (qualifying) round 2022, 1. letnik, category A, problem 1. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source