KöMaL 2025 C1840

Let $-20.25<K<0$ . Solve the following system of equations for real numbers: $\begin{gather*} x+y+z=K,\\ x^3+y^3+z^3=1,\\ xyz=-2024. \end{gather*}$

Official text KöMaL. 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.