Year: 2025
Type: article
Abstract: The paper investigates a family of solutions of second-order parametric Pell equations of the general form: x2 −mx y + y2 = B, where m and B are some parameters. An optimal algorithm for solving such equations is found as an alternative to the traditional method. The proposed method allows not only to solve equations of this type for specific values of the parametersm and B, but also to investigate some equations of this class for solvabilityas a whole. In the particular case of equations of a special type, sequences of natural numbers are identified —the parameters of the equation, for which it is totally unsolvable.
Source: Computer Tools in Education
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4415164239
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