MathDB
Equation with parameter

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

November 14, 2011
parameterizationquadraticslogarithmsalgebrapolynomialproduct of rootsalgebra unsolved

Problem Statement

Determine the real numbers aa such that the equation a3x+3āˆ’x=3a 3^x + 3^{-x} = 3 has exactly one solution x.x.
Back to ProblemsView on AoPS