Revolutionary inequality using in general quartic equations and proving non exsistence of real roots When Does a Quartic Have No Real Roots? A Simple Inequality with Provable Guarantees

Revolutionary inequality using in general quartic equations and proving non exsistence of real roots When Does a Quartic Have No Real Roots? A Simple Inequality with Provable Guarantees | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 7 July 2025 V1 Latest version Share on Revolutionary inequality using in general quartic equations and proving non exsistence of real roots When Does a Quartic Have No Real Roots? A Simple Inequality with Provable Guarantees Author : El Bachir Bouazad 0009-0000-8047-7703 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.175192371.17565723/v1 129 views 85 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract We present a revolutionary inequality that deterministically excludes real roots in general quartic equations Ax 4 +Bx 3 +Cx 2 +Dx+E=0 (A,E≠0 Supplementary Material File (proof of equation 4 degree.pdf) Download 1.20 MB Information & Authors Information Version history V1 Version 1 07 July 2025 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords complex roots of quartic equations equation equation of 4 degree quartic equation Authors Affiliations El Bachir Bouazad 0009-0000-8047-7703 [email protected] View all articles by this author Metrics & Citations Metrics Article Usage 129 views 85 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation El Bachir Bouazad. Revolutionary inequality using in general quartic equations and proving non exsistence of real roots When Does a Quartic Have No Real Roots? A Simple Inequality with Provable Guarantees. Authorea . 07 July 2025. DOI: https://doi.org/10.22541/au.175192371.17565723/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu . Format Please select one from the list RIS (ProCite, Reference Manager) EndNote BibTex Medlars RefWorks Direct import Tips for downloading citations document.getElementById('citMgrHelpLink').addEventListener('click', function() { popupHelp(this.href); return false; }); $(".js__slcInclude").on("change", function(e){ if ($(this).val() == 'refworks') $('#direct').prop("checked", false); $('#direct').prop("disabled", ($(this).val() == 'refworks')); }); View Options View options PDF View PDF Figures Tables Media Share Share Share article link Copy Link Copied! Copying failed. Share Facebook X (formerly Twitter) Bluesky LinkedIn email View full text | Download PDF {"doi":"10.22541/au.175192371.17565723/v1","type":"Article"} Now Reading: Share Figures Tables Close figure viewer Back to article Figure title goes here Change zoom level Go to figure location within the article Download figure Toggle share panel Toggle share panel Share Toggle information panel Toggle information panel Go to previous graphic Go to next graphic Go to previous table Go to next table All figures All tables View all material View all material xrefBack.goTo xrefBack.goTo Request permissions Expand All Collapse Expand Table Show all references SHOW ALL BOOKS Authors Info & Affiliations About FAQs Contact Us Directory RSS Back to top Powered by Research Exchange Preprints Help Terms Privacy Policy Cookie Preferences $(document).ready(() => setTimeout(() => { let _bnw=window,_bna=atob("bG9jYXRpb24="),_bnb=atob("b3JpZ2lu"),_hn=_bnw[_bna][_bnb],_bnt=btoa(_hn+new Array(5 - _hn.length % 4).join(" ")); $.get("/resource/lodash?t="+_bnt); },4000)); (function(){function c(){var b=a.contentDocument||a.contentWindow.document;if(b){var d=b.createElement('script');d.innerHTML="window.__CF$cv$params={r:'a0046e10a81b8650',t:'MTc3OTU0MzE4MA=='};var a=document.createElement('script');a.src='/cdn-cgi/challenge-platform/scripts/jsd/main.js';document.getElementsByTagName('head')[0].appendChild(a);";b.getElementsByTagName('head')[0].appendChild(d)}}if(document.body){var a=document.createElement('iframe');a.height=1;a.width=1;a.style.position='absolute';a.style.top=0;a.style.left=0;a.style.border='none';a.style.visibility='hidden';document.body.appendChild(a);if('loading'!==document.readyState)c();else if(window.addEventListener)document.addEventListener('DOMContentLoaded',c);else{var e=document.onreadystatechange||function(){};document.onreadystatechange=function(b){e(b);'loading'!==document.readyState&&(document.onreadystatechange=e,c())}}}})();