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MathNet 2026 — Part 07 Question 87

Math Olympiad Vault · MathNet 2026 — Part 07

Question 87

Determine all values of $k \in \mathbb{R}$ for which the equation
$$
\frac{4\left(2015^{x}\right)-2015^{-x}}{2015^{x}-3\left(2015^{-x}\right)}=k
$$
admits a real solution.