Art of Problem Solving
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 AMC 12A Problems/Problem 25

Revision as of 19:50, 5 November 2023 by Andliu766 (talk | contribs)

Let $a$ and $b$ be positive integers such that $ab + 1$ divides $a^{2} + b^{2}$. Show that $\frac {a^{2} + b^{2}}{ab + 1}$ is the square of an integer.


This is totally this year's problem. Hmmmmmmm. Totally not that IMO question 6

Retrieved from "https://wiki.aopstest.com/wiki/index.php?title=2023_AMC_12A_Problems/Problem_25&oldid=200927"