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Regional Olympiad - FBH 2018 Grade 10 Problem 1

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2018

September 18, 2018
algebrasystem of equations

Problem Statement

Show that system of equations 2ab=6(a+b)āˆ’132ab=6(a+b)-13 a2+b2=4a^2+b^2=4 has not solutions in set of real numbers.