QUATERNION NUMBERS TO ' PLATE SOLVING THE QUADRATIC EQUATION

Main Article Content

Mamajonov JD
Ismailov.MX
Mukhtorov T.Sh.

Abstract

The quadratic equation is solved using the operations defined in the set of quarternion numbers. The quadratic equation was solved in a special case, and its roots were found. The theorem on the solution of the quadratic equation is given, the formula for finding the square
root of the number of quarternions is given.

Article Details

How to Cite
Mamajonov JD, Ismailov.MX, & Mukhtorov T.Sh. (2023). QUATERNION NUMBERS TO ’ PLATE SOLVING THE QUADRATIC EQUATION. Galaxy International Interdisciplinary Research Journal, 11(2), 414–417. Retrieved from https://giirj.com/index.php/giirj/article/view/4899
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Articles

References

Gordeev V.N. Quaternions and biquaternions with applications in geometry and mechanics// Kiev. Stal Publishing House, 2016.316 p . https://www.researchgate.net/publication/326377622

N. S. Polyakov .. Differentiation of functions of a quaternion variable // Chebishevsky collection 2019, vol. 20, issue 2, p. 298-310.DOI: https://doi.org/10.22405/2226-8383-2018-20-2-298-310

Branets A. V., Shmyglevsky I. P. Application of quaternions in problems of orientation of a rigid body / A.V. Branets , I.P. Shmyglevsky // Moscow, Nauka, 1973, 320 p.https://rusneb.ru/catalog/000219_000011

Kletenik D.V. Collection of problems in analytical geometry /D.V. Kletenik // Moscow, Science,Fizmatlit , 1998, 240 s http://elib.kstu.kz/fulltext/skan/Kletenik.