We haven't determined whether there exists a general, efficient algorithm for solving all types of polynomial equations exactly, regardless of their degree.
open
Mathematics & Logic
Formulas exist for degrees up to four, but general algebraic solutions for higher degrees don't exist in the same closed form, leaving open questions about alternative methods. This shapes ongoing research in both pure and computational algebra.
Team Humans Club. (2026). Problem WS01255: We haven't determined whether there exists a general, efficient algorithm for solving all types of polynomial equations exactly, regardless of their degree.. World Solve. Retrieved 20 Jul 2026, from https://worldsolve.org/index.php?id=1255