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Regional Olympiad - FBH 2013 Grade 10 Problem 1

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2013

September 24, 2018

inequalitiesminimummaximum

Problem Statement

x

and

y

are nonnegative real numbers such that

x+y=1

, determine minimal and maximal value of

A=x\sqrt{1+y}+y\sqrt{1+x}