My Math Forum  

Go Back   My Math Forum > College Math Forum > Number Theory

Number Theory Number Theory Math Forum

LinkBack Thread Tools Display Modes
July 27th, 2016, 08:09 AM   #1
Joined: Jul 2016
From: Brazil

Posts: 1
Thanks: 0

HMMT really hard problem

Find the largest real number y such that a² + b² + c² + d² ≥ ab + ybc + cd for all real numbers a, b, c and d.

I tried to use the AM-GM Inequality and I found 2 as the answer, but it's wrong! :/
muriloogps is offline  

  My Math Forum > College Math Forum > Number Theory

hard, hmmt, problem

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Hard problem! jason384947365 Algebra 1 October 7th, 2015 07:15 PM
2012 HMMT November - Guts Round wuzhe Math Events 0 November 11th, 2012 12:13 PM
hard problem?? john mraz Advanced Statistics 0 June 15th, 2010 12:32 AM
very very hard log problem!! thegle Algebra 1 June 22nd, 2009 02:40 PM
hard problem nguoidep_68 Algebra 3 October 31st, 2007 03:11 PM

Copyright © 2019 My Math Forum. All rights reserved.