A simplified expression for the solution of cubic polynomial equations using function evaluation

This paper presents a simplified method of expressing the solution to cubic equations in terms of function evaluation only. The method eliminates the need to manipulate the original coefficients of the cubic polynomial and makes the solution free from such coefficients. In addition, the usual substi...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2020-02
1. Verfasser: Tiruneh, Ababu T
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue
container_start_page
container_title arXiv.org
container_volume
creator Tiruneh, Ababu T
description This paper presents a simplified method of expressing the solution to cubic equations in terms of function evaluation only. The method eliminates the need to manipulate the original coefficients of the cubic polynomial and makes the solution free from such coefficients. In addition, the usual substitution needed to reduce the cubic equation is implicit in that the final solution is expressed in terms only of the function and derivative values of the given cubic polynomial at a single point. The proposed methodology simplifies the solution to cubic equations making them easy to remember and solve.
format Article
fullrecord <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_journals_2357107625</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2357107625</sourcerecordid><originalsourceid>FETCH-proquest_journals_23571076253</originalsourceid><addsrcrecordid>eNqNykEKwjAURdEgCBbtHj44LqSJaZ2KKC7Aea010ZQ0SfMb0d1r1QU4evDOnZCEcZ5n6xVjM5IitpRSVpRMCJ6Q0wZQd95opeUF5MMHiaidBeUCDDcJ6EwcxsMpaOJZN-CdeVrX6dqA7GM9IkJEba-gom0-sbzX5ksLMlW1QZn-dk6W-91xe8h8cH2UOFSti8G-qWJclDktCyb4f9ULjFVGKQ</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2357107625</pqid></control><display><type>article</type><title>A simplified expression for the solution of cubic polynomial equations using function evaluation</title><source>Free E- Journals</source><creator>Tiruneh, Ababu T</creator><creatorcontrib>Tiruneh, Ababu T</creatorcontrib><description>This paper presents a simplified method of expressing the solution to cubic equations in terms of function evaluation only. The method eliminates the need to manipulate the original coefficients of the cubic polynomial and makes the solution free from such coefficients. In addition, the usual substitution needed to reduce the cubic equation is implicit in that the final solution is expressed in terms only of the function and derivative values of the given cubic polynomial at a single point. The proposed methodology simplifies the solution to cubic equations making them easy to remember and solve.</description><identifier>EISSN: 2331-8422</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Cubic equations ; Mathematical analysis ; Polynomials</subject><ispartof>arXiv.org, 2020-02</ispartof><rights>2020. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>776,780</link.rule.ids></links><search><creatorcontrib>Tiruneh, Ababu T</creatorcontrib><title>A simplified expression for the solution of cubic polynomial equations using function evaluation</title><title>arXiv.org</title><description>This paper presents a simplified method of expressing the solution to cubic equations in terms of function evaluation only. The method eliminates the need to manipulate the original coefficients of the cubic polynomial and makes the solution free from such coefficients. In addition, the usual substitution needed to reduce the cubic equation is implicit in that the final solution is expressed in terms only of the function and derivative values of the given cubic polynomial at a single point. The proposed methodology simplifies the solution to cubic equations making them easy to remember and solve.</description><subject>Cubic equations</subject><subject>Mathematical analysis</subject><subject>Polynomials</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNqNykEKwjAURdEgCBbtHj44LqSJaZ2KKC7Aea010ZQ0SfMb0d1r1QU4evDOnZCEcZ5n6xVjM5IitpRSVpRMCJ6Q0wZQd95opeUF5MMHiaidBeUCDDcJ6EwcxsMpaOJZN-CdeVrX6dqA7GM9IkJEba-gom0-sbzX5ksLMlW1QZn-dk6W-91xe8h8cH2UOFSti8G-qWJclDktCyb4f9ULjFVGKQ</recordid><startdate>20200214</startdate><enddate>20200214</enddate><creator>Tiruneh, Ababu T</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20200214</creationdate><title>A simplified expression for the solution of cubic polynomial equations using function evaluation</title><author>Tiruneh, Ababu T</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_journals_23571076253</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Cubic equations</topic><topic>Mathematical analysis</topic><topic>Polynomials</topic><toplevel>online_resources</toplevel><creatorcontrib>Tiruneh, Ababu T</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Tiruneh, Ababu T</au><format>book</format><genre>document</genre><ristype>GEN</ristype><atitle>A simplified expression for the solution of cubic polynomial equations using function evaluation</atitle><jtitle>arXiv.org</jtitle><date>2020-02-14</date><risdate>2020</risdate><eissn>2331-8422</eissn><abstract>This paper presents a simplified method of expressing the solution to cubic equations in terms of function evaluation only. The method eliminates the need to manipulate the original coefficients of the cubic polynomial and makes the solution free from such coefficients. In addition, the usual substitution needed to reduce the cubic equation is implicit in that the final solution is expressed in terms only of the function and derivative values of the given cubic polynomial at a single point. The proposed methodology simplifies the solution to cubic equations making them easy to remember and solve.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier EISSN: 2331-8422
ispartof arXiv.org, 2020-02
issn 2331-8422
language eng
recordid cdi_proquest_journals_2357107625
source Free E- Journals
subjects Cubic equations
Mathematical analysis
Polynomials
title A simplified expression for the solution of cubic polynomial equations using function evaluation
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-28T15%3A31%3A35IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=document&rft.atitle=A%20simplified%20expression%20for%20the%20solution%20of%20cubic%20polynomial%20equations%20using%20function%20evaluation&rft.jtitle=arXiv.org&rft.au=Tiruneh,%20Ababu%20T&rft.date=2020-02-14&rft.eissn=2331-8422&rft_id=info:doi/&rft_dat=%3Cproquest%3E2357107625%3C/proquest%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2357107625&rft_id=info:pmid/&rfr_iscdi=true