How to find all roots of the quintic using the Bring radical

sequences-and-series taylor-expansion polynomials roots

The answer is contained in the paper

  • Albert Eagle, Series for All the Roots of a Trinomial Equation, American Mathematical Monthly 46 issue 7 (1939) 422-425, doi:10.1080/00029890.1939.11998893, JSTOR.

The Bring-Jerrard normal form is a particular example of a trinomial, and Eagle gives the general solution.

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