Estimation of real and complex roots of cubic polynomials using quadratics

  1. Slim Ben Othman
  2. Yogesh J. Bagul
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Abstract

We present here a new method to estimate the solution of a cubic equation with real and complex coefficients. Our method is based on a derived quadratic from the original cubic allowing a reliable evaluation of the roots through a few simple and fast steps without needing extended formulae or logarithms. This approach is suitable for engineering applications and scientific research. Mathematics Subject Classification (2010). 11D25, 12D10, 26C10, 30C15.

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  1. Version published to 10.21203/rs.3.rs-4354257/v1 on Research Square