What problem did Galois solve that had been left open for 350 years?
The three body problem
Fermat's last theorem
P=NP problem
The problem of determining a necessary and sufficient condition for a polynomial to be solvable by radicals
Answer
Galois solved the 350-year-old problem of finding a criterion to determine whether a polynomial equation can be solved using radicals. His work laid the groundwork for modern algebra and Galois theory, which studies the solvability of polynomial equations and has broad applications in mathematics and physics.
Gallant Galois: The Life and Legacy of a French Mathematician
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