On Integer Solutions of the Ternary Quadratic Equation

Abstract

Analysis is conducted on the non-trivial different integral solution to the quadratic equation . We derive distinct integral solutions in four different patterns. There are a few intriguing connections between the solutions and unique polygonal numbers that are presented.

Introduction

Conclusion

The ternary quadratic equation has four different patterns of non- zero distinct integral solutions, which we described in this paper. For other quadratic equation , one can look for other patterns of non-zero integer unique solutions and their accompanying features.

References

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Copyright

Copyright © 2023 G. Janaki, M. Aruna. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.