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

On ternary biquadratic Diophantine equation 11(x^2 – y^2) + 3(x + y ) =10z^4