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Casus Irreducibilis

Statement

Casus irreducibilis, which is Latin for "the irreducible case", is the situation in which an irreducible cubic polynomial has all real roots. In order to obtain the roots by radicals in such cases, it is always necessary to express the roots using complex-valued numbers.

History

status | proved
proof date | 1891 (134 years ago)
prover | Otto Hölder
additional people involved | Gerolamo Cardano | Niccolò Tartaglia

Classes

solved mathematics problems | mathematics theorems

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