A quartic diophantine equation inspired by Brahmagupta's identity

Ajai Choudhry, Iliya Bluskov, Alexander James

In this paper we obtain several parametric solutions of the quartic diophantine equation $(x_1^4+x_2^4)(y_1^4+y_2^4)=z_1^4+z_2^4$. We also show how infinitely many parametric solut…