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1

Part of 1997 Finnish National High School Mathematics Competition

Problems(1)

Equation with parameter

Source: Finnish Mathematics Competition 1997, Final Round, Problem 1

11/14/2011
Determine the real numbers aa such that the equation a3x+3āˆ’x=3a 3^x + 3^{-x} = 3 has exactly one solution x.x.
parameterizationquadraticslogarithmsalgebrapolynomialproduct of rootsalgebra unsolved