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Book Sections Year : 2002

Solving Quintics by Radicals


A formula is given for solving by radicals any polynomial of degree 5 which is solvable by radicals. This formula is valid on any field of characteristic different from 2 and 5. The field extension which is generated by the radicals which appear in the result is always minimal, when only one root is produced, as well as when all roots are given. This formula has been implemented in Maple.
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inria-00099407 , version 1 (26-09-2006)


  • HAL Id : inria-00099407 , version 1


Daniel Lazard. Solving Quintics by Radicals. none. The Legacy of Niels Henrik Abel, Springer, 2002. ⟨inria-00099407⟩
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