On the System of Double Equations x+y2=a2, x-y2=b2

M.A.Gopalan; S.Vidhyalakshmi; J.Srilekha

doi:https://doi.org/10.14445/22315373/IJMTT-V65I3P524

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 3 | Year 2019 | Article Id. IJMTT-V65I3P524 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I3P524

On the System of Double Equations x+y2=a2, x-y2=b2

M.A.Gopalan, S.Vidhyalakshmi, J.Srilekha

Abstract

The paper aims at determining sets of non-zero distinct integer solutions to the system of double equations given by x+y2=a2, x-y2=b2. A few numerical examples are given. A few interesting properties among the solutions are also presented.

Keywords

System of double equations, integer solutions.

References

[1] L.E. Dickson, History of the theory of Numbers, Vol.II , Chelsea publishing company, New York, 1952.
[2] B. Batta and A.N. Singh, History of Hindu Mathematics , Asia Publishing House, 1938.

Citation :

M.A.Gopalan, S.Vidhyalakshmi, J.Srilekha, "On the System of Double Equations x+y2=a2, x-y2=b2," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 3, pp. 156-161, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I3P524