2023 USAJMO Problems/Problem 1: Difference between revisions
Created page with "Find all triples of positive integers <math>(x,y,z)</math> that satisfy the equation\begin{align*} 2(x+y+z+2xyz)^2=(2xy+2yz+2zx+1)^2+2023 \end{align*}" |
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Find all triples of positive integers <math>(x,y,z)</math> that satisfy the equation\begin{align*} 2(x+y+z+2xyz)^2=(2xy+2yz+2zx+1)^2+2023 \end{align*} | Find all triples of positive integers <math>(x,y,z)</math> that satisfy the equation | ||
<cmath> | |||
\begin{align*} | |||
2(x+y+z+2xyz)^2=(2xy+2yz+2zx+1)^2+2023 | |||
\end{align*} | |||
</cmath> | |||
Revision as of 12:39, 24 March 2023
Find all triples of positive integers 
that satisfy the equation
