On The Homogeneous Bi-quadratic Equation with Five Unknowns x4 ?y4= 37 (z2-w2)T2

R. Anbuselvi, N. Ahila

Abstract: The Bi-quadratic equation with 5 unknowns given by is analyzed for its patterns of non-zero distinct integral solutions. A few interesting relations between the solutions and special polygonal numbers are exhibited.

Keywords: Bi- Quadratic equation, Integral solutions, Special polygonal numbers, Pyramidal numbers