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Regional Olympiad - FBH 2018 Grade 11 Problem 1

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2018

September 18, 2018
parameterizationalgebraequation

Problem Statement

Find all values of real parameter aa for which equation 2sin⁡4(x)+cos⁡4(x)=a2{\sin}^4(x)+{\cos}^4(x)=a has real solutions
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