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Bring Quintic Form

A Tschirnhausen transformation can be used to take a general quintic equation to the form

x^5-x-a=0,

where a may be complex.

See also

Bring-Jerrard Quintic Form, Quintic Equation

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References

Bring, E. S. Quart. J. Math. 6, 1864.Grunert, J. A. "VIII. Miscellen von dem Herausgeber." Archiv der Math. Phys. 41, 105-112, 1864.Harley, R. "A Contribution to the History of the Problem of the Reduction of the General Equation of the Fifth Degree to a Trinomial Form." Quart. J. Math. 6, 38-47, 1864.Ruppert, W. M. "On the Bring Normal Form of a Quintic in Characteristic 5." Arch. Math. 58, 44-46, 1992.Tortolini, B. "Rivista bibliografica sopra a transformazione del Sig. Jerrard per l'equazioni di quinto grado." Annali di Mat. pura appl. 6, 33-42, 1864.

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Bring Quintic Form

Cite this as:

Weisstein, Eric W. "Bring Quintic Form." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BringQuinticForm.html

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