In the case of a solvable quintic, the roots can be found using the formulas found in 1771 by Malfatti, who was the first to “solve” the quintic using a resolvent of sixth degree (Pierpont 1895). The ...

Since 1832, when Galois proved that no general solution exists for quintic equations using radicals, which are mathematical expressions like square and cube roots, mathematicians have turned to ...