Deriving Formulas for Three Integers Such That the Sum of Their Squares and the Sum of Products of Their Squares are Both Perfect Square Integers

Authors

  • Kassahun Tesfaye Agizew Department of Mathematics, College of Natural and Computational Sciences, Wolkite University, Wolkite, Ethiopia
  • Solomon Shiferaw Hurisa Department of Mathematics, College of Natural and Computational Sciences, Wolkite University, Wolkite, Ethiopia

Keywords:

Integers, Square integers, Perfect square integers, variables, algebraic operations.

Abstract

In this research study we will derive formulas for three integers whose squares sum and the sum of their squares products are both perfect square integers. That is if and  are three integers, then   and  are both perfect square integers. Proofs are most often arrived at through deductive reasoning. A proof is an argument where a given statement is true. In this proof the so called direct proof had used.

References

. Mesaye Demwssie (2003). Advanced Mathematics: A Guide to Success for Preparatory School Level, 12-13, 16.

. What is a Perfect Square? A perfect square - Math Warehouse, “http: //www.mathwarehouse.com/arithmetic/numbers/what-is-a-perfect-square …,” [12/09/2018/19].

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Published

2018-10-23

How to Cite

Tesfaye Agizew, K., & Shiferaw Hurisa, S. (2018). Deriving Formulas for Three Integers Such That the Sum of Their Squares and the Sum of Products of Their Squares are Both Perfect Square Integers. International Journal of Sciences: Basic and Applied Research (IJSBAR), 42(2), 10–25. Retrieved from https://www.gssrr.org/index.php/JournalOfBasicAndApplied/article/view/9291

Issue

Vol. 42 No. 2 (2018)

Section

Articles

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