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A new approach to solving the cubic: Cardan’s solution revealed

Published online by Cambridge University Press:  01 August 2016

R.W.D. Nickalls
R.W.D. Nickalls*
Affiliation:
Department of Anaesthesia, C Floor, East Block, Queen’s Medical Centre, Nottingham NG7 2UH
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Extract

The cubic holds a double fascination, since not only is it interesting in its own right, but its solution is also the key to solving quartics. This article describes five fundamental parameters of the cubic (δ, λ, h, xN, and yN), and shows how they lead to a significant modification of the standard method of solving a cubic, generally known as Cardan’s solution.

Type
Research Article
Information
The Mathematical Gazette , Volume 77 , Issue 480 , November 1993 , pp. 354 - 359
Copyright
Copyright © The Mathematical Association 1993

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References

1. Burnside, W.S. and Panton, A.W. The theory of equations: with an introduction to the theory of binary algebraic forms. 2nd ed. Longmans, Green and Co., London (1886).Google Scholar