JOURNAL ARTICLE

Revisiting the general cubic: a simplification of Cardano's solution.

  • Published In: Mathematical Gazette, 2023, v. 107, n. 570. P. 438 1 of 3

  • Database: Mathematics Source 2 of 3

  • Authored By: Liao, Hsin-Chieh; Saul, Mark; Shiue, Peter J.-S 3 of 3

Abstract

Given a polynomial equation x 3 + ax 2 + bx + c = 0 of degree 3 with real coefficients, we may translate the variable by replacing x with x − to make the quadratic term vanish. We then obtain a simpler equation x 3 + px + q = 0 where Therefore, in order to solve a polynomial equation of degree 3, it is sufficient to solve equations of the form x 3 + px + q = 0. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Mathematical Gazette. 2023/11, Vol. 107, Issue 570, p438
  • Document Type:Article
  • Subject Area:History
  • Publication Date:2023
  • ISSN:0025-5572
  • DOI:10.1017/mag.2023.96
  • Accession Number:172912224
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