Question 138
Solve in positive integers the equation
$$
m^{\frac{1}{n}} + n^{\frac{1}{m}} = 2 + \frac{2}{mn(m+n)^{\frac{1}{m}+\frac{1}{n}}}.
$$
$$
m^{\frac{1}{n}} + n^{\frac{1}{m}} = 2 + \frac{2}{mn(m+n)^{\frac{1}{m}+\frac{1}{n}}}.
$$
MathNet 2023-part-01 — 191 problems (EN–VI) Question 138
Math Olympiad Vault · MathNet 2023-part-01 — 191 problems (EN–VI)