A Study on Two Curious Diophantine Problems

London Journal of Research in Science: Natural and Formal
Volume | Issue | Compilation
Authored by M.A. Gopalan , K. Meena, S. Vidhyalakshmi
Classification: FOR Code: 11D99
Keywords: diophantine problems, binary cubic, integer solutions.
Language: English

In this communication, an attempt has been made to obtain pairs of non-zero distinct integers such that, in each pair,

i) The square of the sum added with the cube of the sum is equal to two times the sum of the cubes of the corresponding integers.

ii) 2k times the square of the sum added with the cube of the sum is equal to two times the sum of the cubes of the corresponding integers.



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