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2023 USAJMO Problems/Problem 1

Revision as of 13:34, 24 March 2023 by Danielzh (talk | contribs) (Created page with "Find all triples of positive integers <math>(x,y,z)</math> that satisfy the equation

\begin{array}{r} 2 (x + y + z + 2 x y z)^{2} = (2 x y + 2 y z + 2 z x + 1)^{2} + 2023 \end{array}

")

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Find all triples of positive integers $(x,y,z)$ that satisfy the equation $\begin{array}{r} 2 (x + y + z + 2 x y z)^{2} = (2 x y + 2 y z + 2 z x + 1)^{2} + 2023 \end{array}$

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