An Alternative Method for Solving Quadratic Equations Based on the Sum and Difference of the Roots

In this article, we present an alternative and elementary method for solving quadratic equations, based on the sum and difference of the roots. The method is derived from classical identities, rigorously proven, and compared with traditional approaches, highlighting its didactic applications.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-11-25
DOI
https://doi.org/10.5281/zenodo.17712040
Primary Topic
Iterative Methods for Nonlinear Equations
Type
article
Field-Weighted Citation Impact
0.00
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article

An Alternative Method for Solving Quadratic Equations Based on the Sum and Difference of the Roots

Zenodo (CERN European Organization for Nuclear Research)
Iterative Methods for Nonlinear Equations
article

An Alternative Method for Solving Quadratic Equations Based on the Sum and Difference of the Roots

article en

Abstract

In this article, we present an alternative and elementary method for solving quadratic equations, based on the sum and difference of the roots. The method is derived from classical identities, rigorously proven, and compared with traditional approaches, highlighting its didactic applications.

Zenodo (CERN European Organization for Nuclear Research)
Cosmos Corporation (United States) (US)
Openalex Percentile: Top 31%
Iterative Methods for Nonlinear Equations
DOIOpen Access PDFOpenAlex
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An Alternative Method for Solving Quadratic Equations Based on the Sum and Difference of the Roots · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS