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

2025 SSMO Relay Round 2 Problems/Problem 1

Revision as of 11:43, 9 September 2025 by Pinkpig (talk | contribs) (Created page with "==Problem== Let <math>(p,q,r)</math> be the real solution to following system: <cmath>\begin{align*} pq &= 20 \\ qr &= 25 \\ r+p &= 9. \end{align*}</cmath> Compute <math>p^2+...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

Let $(p,q,r)$ be the real solution to following system: \begin{align*} pq &= 20 \\ qr &= 25 \\ r+p &= 9. \end{align*} Compute $p^2+q^2+r^2$.

Solution

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2025_SSMO_Relay_Round_2_Problems/Problem_1&oldid=260090"