Observations on $x^2+y^2+2(x+y)+2=10 z^2$
Authors :
Shreemathi Adiga1*, 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 :
Article Info :
Received : April 29, 2018; Accepted : August 07, 2018.