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Regional Olympiad - FBH 2016 Grade 9 Problem 1

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2016

September 22, 2018

algebraminimumInequality

Problem Statement

Find minimal value of

A=\frac{\left(x+\frac{1}{x}\right)^6-\left(x^6+\frac{1}{x^6}\right)-2}{\left(x+\frac{1}{x}\right)^3+\left(x^3+\frac{1}{x^3}\right)}