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

2020 IMO Problems/Problem 2

Revision as of 00:56, 23 September 2020 by Epicnumbertheory (talk | contribs) (Created page with "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)<math>a^a</math>")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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)$a^a$

Retrieved from "https://wiki.aopstest.com/wiki/index.php?title=2020_IMO_Problems/Problem_2&oldid=133961"