Authors:
Odimientimi Desmond Agbedeyi,Edith Akpevwe Siloko,Rita Nneka Nwaka,Simon Ejokema Imoisi,Esosa Enoyoze,Osayomore Ikpotokin,Israel Uzuazor Siloko,Idemudia Edetalehn Oaihimire,DOI NO:
https://doi.org/10.26782/jmcms.2026.06.00009Keywords:
Algebra,Formula Method,Quadratic Equation,Symmetric Average Approach.,Abstract
The solutions to quadratic equations are invaluable in real-world problems due to their widespread applications, such as profit determination of products, calculation of areas, and speed formulation of an object. The classical techniques for solving quadratic equations with closed-form solutions are factorization, completing the square, the quadratic formula, and graphical methods. This study introduces a novel, informative, and computationally innovative technique known as the symmetric average approach (SAA) for solving quadratic equations. The symmetric average approach (SAA) involves the identification of the mid-value given the solutions of the equation and the homologous deviation. Contrary to the classical methods, particularly the formula method that requires direct coefficient substitutions resulting in algebraic complexity, which typically burdens learners, the symmetric average approach (SAA) centers on the symmetry of the roots of the equation. Numerical validation reveals that the technique improves theoretical clarity and is capable of enhancing learners’ ability to retain quadratic relations. The technique is a valid empirical alternative and pedagogical tool for solving quadratic equations.Refference:
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