Szabo, Zoltan Istvan

Analysis of Generalization of a Problem of Vieta’s Descend Method with Examples and Computing Support

Szabo, Zoltan Istvan · Asian Research Journal of Mathematics · 2022

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 exam...