Istvan, Szabo, Zoltan
(2022)
*Analysis of Generalization of a Problem of Vieta’s Descend Method with Examples and Computing Support.*
Asian Research Journal of Mathematics.
pp. 65-76.
ISSN 2456-477X

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## Abstract

Let and be fixed integer numbers. Assume that (a2+b2+c) is divisible by (ab+d) for some natural numbers a and b. Then the value of the fraction $$k ( = {(a^2+b^2+c) \over (ab+d)})$$ remains the same. Statement of this kind will be proved in pp. 1-3 and illustrated on some examples in pp. 3-10. The general method of proofs will be unified and simplified. Computing support will be provided: in pages 11-19 a simple program code is defined with the help of which one can hunt for natural numbers a, b with the same integer values of c, d and k. Here, a number of examples are given as well.

Item Type: | Article |
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Subjects: | Asian Repository > General Subject > Mathematical Science 0 Subject > Mathematical Science |

Depositing User: | Managing Editor |

Date Deposited: | 07 Oct 2022 05:01 |

Last Modified: | 07 Oct 2022 05:01 |

URI: | http://eprints.asianrepository.com/id/eprint/3580 |