Resonance

, Volume 15, Issue 4, pp 347–350 | Cite as

Solution of cubic equations: An alternative method

Classroom
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Abstract

The exact solution of polynomial equations has long been an area of interest. Students are familiar with the solution of linear and quadratic equations, but when they move to cubic and quartic equations, they find that the solution involves a non-intuitive transformation. Cardan’s method of solving the cubic equation is well known (see [1] and [2]; see also [3] for a geometrical interpretation of the method). This article suggests a different and simpler formulation to solve cubic equations.

Keywords

Cubic equations Cardan’s method depressed cubic algebraic equations 

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Suggested Reading

  1. [1]
    CubicFunction, Wikipedia.Google Scholar
  2. [2]
    Cubic and Quartic Equations, Math Forum (Drexel).Google Scholar
  3. [3]
    R W D Nickalls, A new approach to solving the cubic: Cardan’s solution revealed, Mathematical Gazette, Vol.77, 1993.Google Scholar
  4. [4]
    Cubic Equations—Another Solution, Math Forum (Drexel).Google Scholar

Copyright information

© Indian Academy of Sciences 2010

Authors and Affiliations

  1. 1.MysoreIndia

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