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Regional Olympiad - FBH 2009 Grade 9 Problem 2

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2009

September 28, 2018

minimumalgebrainequalities

Problem Statement

Find minimum of

x+y+z

where

x

y

and

z

are real numbers such that

x \geq 4

y \geq 5

z \geq 6

and

x^2+y^2+z^2 \geq 90