Difference between revisions of "2023 USAJMO Problems/Problem 1"

Revision as of 13:40, 24 March 2023

Find all triples of positive integers $(x,y,z)$ that satisfy the equation

$\begin{align*} 2(x+y+z+2xyz)^2=(2xy+2yz+2zx+1)^2+2023 \end{align*}$

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		+	==Problem==
	Find all triples of positive integers <math>(x,y,z)</math> that satisfy the equation		Find all triples of positive integers <math>(x,y,z)</math> that satisfy the equation