The Peter Chew Complex Coefficient Quadratic Equation Method (PCCQEM): A Simplified Approach to Solving Quadratic Equations with Complex Coefficients

The Peter Chew Complex Coefficient Quadratic Equation Method (PCCQEM): A Simplified Approach to Solving Quadratic Equations with Complex Coefficients | 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 Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed.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. 20 November 2025 V1 Latest version Share on The Peter Chew Complex Coefficient Quadratic Equation Method (PCCQEM): A Simplified Approach to Solving Quadratic Equations with Complex Coefficients Author : Prof. Dr. Peter Chew 0000-0002-5935-3041 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.176365738.81023053/v1 264 views 118 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract This paper introduces the Peter Chew Complex Coefficient Quadratic Equation Method (PCCQEM), a novel and simplified approach to solving quadratic equations with complex coefficients. Traditional methods for solving such equations require extensive algebraic manipulation involving 14 computational steps, making them prone to errors and pedagogically challenging for students. The PCCQEM reduces this complexity to just 5 systematic steps using the PETER mnemonic: Problem Identify, Evaluate Discriminant, Theorem Application, Evaluate Answer, and Real Answer. The core of this method is Peter Chew's Theorem, a revolutionary approach for computing complex square roots that eliminates the need complex calculation for √(x + yi). By leveraging this theorem as its foundational principle, the PCCQEM achieves computational efficiency while maintaining same of precision. Comparative Method demonstrates that PCCQEM significantly reduces calculation compared to conventional approaches, therefore reduce error possibility using the method, making it an invaluable tool for both educational and practical applications in mathematics, engineering, and physics. PCCQEM in line with Einstein Wisdom We cannot solve our problems with the same thinking we used when we created them, everything should be made as simple as possible and nf you can't explain it simply you don't understand it well enough, Supplementary Material File (20-11-25 the peter chew complex coefficient quadratic equation method.pdf) Download 473.87 KB Information & Authors Information Version history V1 Version 1 20 November 2025 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords complex coefficients mathematical pedagogy peter chew's theorem quadratic equations simplified computation Authors Affiliations Prof. Dr. Peter Chew 0000-0002-5935-3041 [email protected] View all articles by this author Metrics & Citations Metrics Article Usage 264 views 118 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Prof. Dr. Peter Chew. The Peter Chew Complex Coefficient Quadratic Equation Method (PCCQEM): A Simplified Approach to Solving Quadratic Equations with Complex Coefficients. Authorea . 20 November 2025. DOI: https://doi.org/10.22541/au.176365738.81023053/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 . 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