INTEGRITY JOURNAL OF EDUCATION AND TRAINING
Integrity Research Journals
ISSN: 2636-5995
Model: Open Access/Peer Reviewed
DOI: 10.31248/IJET
Start Year: 2016
Email: ijet@integrityresjournals.org
Solution of simultaneous equations of the form p+q=α and pq=β using square formula method
https://doi.org/10.31248/IJET2026.249 | Article Number: 8743350B2 | Vol.10 (1) - April 2026
Received Date: 28 February 2026 | Accepted Date: 26 March 2026 | Published Date: 30 April 2026
Authors: K. S. Famuagun , J. I. Opadara* and M. O. Lawal
Keywords: Algorithm, new formulae, roots of equations, simultaneous equations methods, system of equations, variables.
This paper presents a method for solving simultaneous equations of the form p+q=α and pq=β using the square formulae. The square formulae is a mathematical algorithm that can be applied to any system of linear and quadratic simultaneous equations, in this case of the form p+q=α and pq=β. The paper begins by giving the overview of simultaneous equations and the square formula and its uses, followed by the derivation of the formulae. The paper then gave examples of the implementation of the square formulae and shows how it can be used to solve the given set of simultaneous \equations. Lastly, the paper presents further applications of the square formulae for solving other kinds system of simultaneous equations.
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