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

2020 IMO Problems/Problem 2

Revision as of 01:00, 23 September 2020 by Epicnumbertheory (talk | contribs)

Problem 2. The real numbers a, b, c, d are such that a≥b≥c≥d>0 and $a+b+c+d=1$. Prove that $(a+2b+3c+4d)a^a b^bc^cd^d<1$

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2020_IMO_Problems/Problem_2&oldid=133962"