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

Shreemathi Adiga1*, N. Anusheela2 and M.A. Gopalan3

doi:10.26637/MJM0603/0026

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

Authors :

Shreemathi Adiga^1*, N. Anusheela² and M.A. Gopalan³

Author Address :

¹Department of Mathematics, Government First Grade College, Koteshwara, Kundapura Taluk, Udupi-576 222, Karnataka, India
²Department of Mathematics,Government Arts College, Udhagamandalam, The Nilgiris-643 002, India.
³Department of Mathematics, Shrimati Indira Gandhi College, Trichy-620 002, Tamil Nadu, India.

*Corresponding author.

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.

DOI :

10.26637/MJM0603/0026

Article Info :

Received : April 29, 2018; Accepted : August 07, 2018.