Solution of Some Types of Undetermined (Diophantine) Equations and Their Systems
https://doi.org/10.31161/1995-0659-2024-18-4-20-25
Abstract
The aim of the paper is to search for methods for solving undeterminate equations and their systems in natural and integer numbers using formulas of identical transformations and their use in organizing extracurricular work in mathematics. Methods. Studying scientific and methodological literature on number theory for solving indefinite equations in integers using formulas for identity transformations. Results. Some methods for solving indefinite equations and their systems in natural and integer numbers using formulas of identity transformations are defined. Conclusion. The possibility of factoring the sum and difference of two expressions with different exponents and its use in solving indeterminate equations and their systems is shown.
About the Authors
Sh. M. Vakilov
Gamzatov Dagestan State Pedagogical University
Russian Federation
Russian Federation
Shamil M. Vakilov, Ph. D. (Pedagogy), assistant professor, the сhair of Teaching Methods Mathematics and Computer Science, Institute of Physics, Mathematics and Information Technology Education
Makhachkala
Sh. A. Bakmaev
Gamzatov Dagestan State Pedagogical University
Russian Federation
Russian Federation
Shirvani A. Bakmaev, Ph. D. (Pedagogy), professor, the сhair of Teaching Methods Mathematics and Computer Science, Institute of Physics, Mathematics and Information Technology Education
Makhachkala
Z. G. Lakhikova
Gamzatov Dagestan State Pedagogical University
Russian Federation
Russian Federation
Zuhra G. Lakhikova, senior lecturer, the сhair of Mathematics and Computer Science Teaching Methods, Institute of Physics, Mathematics and Information Technology Education
Makhachkala
References
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Review
For citations:
Vakilov Sh.M., Bakmaev Sh.A., Lakhikova Z.G. Solution of Some Types of Undetermined (Diophantine) Equations and Their Systems. Dagestan State Pedagogical University. Journal. Psychological and Pedagogical Sciences. 2024;18(4):20-25. (In Russ.) https://doi.org/10.31161/1995-0659-2024-18-4-20-25
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