Intersect a quartic to extract its roots

• Autorzy: Raghavendra G. Kulkarni
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Intersection of curves; quartic polynomial; quadratic polynomial; roots; resolvent cubic equation

• Wydawca: Wydawnictwo Naukowe Uniwersytetu Pedagogicznego
• Czasopismo: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
• Rocznik: 2017
• Tom: 16

Daty

wydano

2017-12-01

otrzymano

2017-09-25

zaakceptowano

2017-11-04

online

2018-01-27

Twórcy

autor

Raghavendra G. Kulkarni

• , , 100 Feet Ring Road, BSK III Stage - , ; [e-mail]

Identyfikatory

DOI

10.1515/aupcsm-2017-0006