We haven't determined whether it's possible to construct a fully general method for finding the exact number of solutions to any given system of polynomial equations.
open
Mathematics & Logic
Specific techniques exist for counting solutions in many cases, but a complete and general method covering every possible polynomial system remains an unresolved goal in algebraic geometry. This continues to be an active area of mathematical research.
Team Humans Club. (2026). Problem WS01331: We haven't determined whether it's possible to construct a fully general method for finding the exact number of solutions to any given system of polynomial equations.. World Solve. Retrieved 20 Jul 2026, from https://worldsolve.org/index.php?id=1331