A NOVEL CONCEPT IN THEORY OF QUADRATIC EQUATION

admin March 29, 2022

Authors:

Prabir Chandra Bhattacharyya,

DOI NO:

https://doi.org/10.26782/jmcms.2022.03.00006

Keywords:

Bhattacharyya’s Co-ordinate System,Cartesian Co-ordinate System,Quadratic Equation,Theory of Dynamics of Numbers,Theory of Numbers,

Abstract

The basic idea of a quadratic equation is one of the most important topics in algebra. The mathematical concept for the method of solution of a quadratic equation is dependent on the advancement of the theory of numbers. The author developed a new concept regarding the method of solution of the quadratic equation based on “Theory of Dynamics of Numbers”. The author determined the inherent nature of one unknown quantity (say x) from the quadratic expression ax²+bx+c of the quadratic equation ax²+bx+c=0 by keeping the structure of the second-degree expression intact and then finding the solution of the quadratic equation using the novel concept of the Theory of Dynamics of Numbers. The author solved any quadratic equation in one unknown number (say x) of the quadratic equation in the form of ax²+bx+c=0, whether the numerical value of the discriminant is b²-4ac≥0 or b²-4ac<0, is real numbers only without using any imaginary numbers. With these new inventive concepts, the author developed new theories in the theory of quadratic equation.

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