QUATERNION NUMBERS TO ' PLATE SOLVING THE QUADRATIC EQUATION

Article Sidebar

pdf
Published: Feb 18, 2023
Keywords:
imaginary unit, guiding vectors, quaternion numbers, distribution property, biquadratic equation, infinitely many, square root.

Main Article Content

Mamajonov JD
Physics Mathematics Sciences Doctor (DSc ) , Fergana State University , Associate Professor
Ismailov.MX
Farg is a Mother State University _ Teacher
Mukhtorov T.Sh.
Farg is a mother state university , graduate student

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://internationaljournals.co.in/index.php/giirj/article/view/3563
Issue
Vol. 11 No. 2 (2023): GIIRJ
Section
Articles
Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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.