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

JMPSC 2022 Division 1 Round 2 Problem 14

Revision as of 15:07, 6 August 2022 by Mathdreams (talk | contribs) (Created page with "==Problem== Find the number of orderer pairs of positive integers <math>(m,n)</math> such that <cmath>n^2 + m^3 = mn</cmath> and <math>|m|,|n| \le 100</math>. ==Solution==")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

Find the number of orderer pairs of positive integers $(m,n)$ such that

\[n^2 + m^3 = mn\]

and $|m|,|n| \le 100$.

Solution

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=JMPSC_2022_Division_1_Round_2_Problem_14&oldid=176712"