Observations on  $x^2+y^2+2(x+y)+2=10 z^2$

Shreemathi Adiga; N. Anusheela; M.A. Gopalan

doi:10.26637/MJM0603/0026

Abstract

The quadratic equation with three unknowns given by $x^2+y^2+2(x+y)+2=10 z^2$ is analysed for its non-zero distinct integer solutions. Given a solution, formula for generating sequence of solutions is obtained.

Keywords:

Second degree equation, three unknowns, lattice points.

Mathematics Subject Classification:

mathematics

Authors Imprint References Funding Related Articles Downloads

Shreemathi Adiga Department of Mathematics, Government First Grade College, Koteshwara, Kundapura Taluk, Udupi-576 222, Karnataka, India https://orcid.org/0009-0000-9823-9834
N. Anusheela Department of Mathematics,Government Arts College, Udhagamandalam, The Nilgiris-643 002, India.
M.A. Gopalan Department of Mathematics, Shrimati Indira Gandhi College, Trichy-620 002, Tamil Nadu, India.

Pages: 632-634
Date Published: 01-07-2018
Vol. 6 No. 03 (2018): Malaya Journal of Matematik (MJM)

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