ArticleOriginal scientific text

Title

Intersect a quartic to extract its roots

Authors 1

Affiliations

  1. , , 100 Feet Ring Road, BSK III Stage - , ; raghavendrakulkarni@pes.edu

Abstract

In this note we present a new method for determining the roots of a quartic polynomial, wherein the curve of the given quartic polynomial is intersected by the curve of a quadratic polynomial (which has two unknown coefficients) at its root point; so the root satisfies both the quartic and the quadratic equations. Elimination of the root term from the two equations leads to an expression in the two unknowns of quadratic polynomial. In addition, we introduce another expression in one unknown, which leads to determination of the two unknowns and subsequently the roots of quartic polynomial.

Keywords

Intersection of curves, quartic polynomial, quadratic polynomial, roots, resolvent cubic equation
Main language of publication
English
Received
2017-09-25
Accepted
2017-11-04
Published
2017-12-01
Published online
2018-01-27
Exact and natural sciences