On ternary biquadratic Diophantine equation 11(x(2) - y(2))

Abstract

We obtain infinitely many non-zero integer triples (x, y, z) satisfying the non- homogeneous bi-quadratic equation with three unknowns 11(x(2) - y(2)) + 3(x+ y) = 10z(4). Various interesting properties among the values of x, y, z are presented. Some relations between the solutions and special numbers are exhibited.