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