CD Skripsi
Solusi Persamaan Diophantine x^3+y^3=z^2 Pada Bilangan Bulat Gaussian Dengan Syarat x≠y
This final project discusses the determination of solutions to the nonlinear Dio- phantine equation x3 + y3 = z2 over the ring of Gaussian integers for the special case x ≠ y. The solution approach employs exponential properties, elementary algebra, and a method of separating the real and imaginary parts of complex expressions. Since the analytical method used here is based on simple algebra- ic properties, it can be easily generalized to study the behavior and existence conditions of solutions to other Diophantine equations, thereby allowing for a deeper understanding even when no general solution is known.
Keywords: Diophantine equation, Gaussian integer, exponential property, al- gebraic properties
Tidak tersedia versi lain