Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

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{align*} 2(x+y+z+2xyz)^2=(2xy+2yz+2zx+1)^2+2023 \end{align*}")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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*}

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2023_USAJMO_Problems/Problem_1&oldid=191258"