Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2017-08-04 01:19:49

tyuighp
Member
Registered: 2015-12-04
Posts: 12

Find the minimum

Find the minimum possible value of

given that

are nonnegative real numbers

such that

.

Last edited by tyuighp (2017-08-04 01:20:57)

Offline

#2 2017-08-04 01:46:24

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,107
Website

Re: Find the minimum

Use the AM-GM inequality to deduce that
You should be able to use the AM-GM inequality again, together with the fact that
, to get a lower bound for your original expression.

Offline

Board footer

Powered by FluxBB