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Regional Olympiad - FBH 2009 Grade 11 Problem 4

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2009

September 28, 2018

algebrainequalities

Problem Statement

What is the minimal value of

\sqrt{2x+1}+\sqrt{3y+1}+\sqrt{4z+1}

, if

x

y

and

z

are nonnegative real numbers such that

x+y+z=4