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A NEW WAY OF SOLVING QUADRATIC EQUATIONS : The Quadratic Method

Year: 2025

Type: article

Abstract: The Quadratic Triangle is a heuristic visualization for estimating quadratic roots. At its apex lies the pivot p=S/mp = S/mp=S/m, derived from dividing the sum of roots SSS. Using this pivot, one root is approximated as r1=P/pr_1 = P/pr1=P/p, and the other as r2=S−r1r_2 = S - r_1r2=S−r1. A ceiling adjustment refines both values to align with integer or near-integer solutions. The triangular form highlights the balance between coefficients, sum, product, and the approximated roots.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.17117979

Author: Ukachi Nmachuwku, Treasure

Language: English

Topic: Mathematical and Computational Methods

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7081666407

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