DK-GEORGMOHR 1993 Problem 3

Determine all real solutions $x,y$ to the system of equations $\begin{cases} x^2 + y^2 = 1 x^6 + y^6 = \dfrac{7}{16} \end{cases}$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.