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

2024 SSMO Team Round Problems/Problem 7

Problem

Let $a$ and $b$ be real numbers that satisfy $a^3+8ab^2=8b^3+4a^2b=375$. Find $\lfloor ab \rfloor$.

Solution

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2024_SSMO_Team_Round_Problems/Problem_7&oldid=247936"