Method for Solving Polynomial Equations

Journal of Applied & Computational Mathematics

article

Nahon YJ¹ 

[1] Department of Mathematics, Technion-Israel Institute of Technology

关键词: Polynomial Equations;    Coefficients;    Series;    RecurrentRelationships;    Finite number;   

DOI  :  10.4172/2168-9679.1000409

来源: Hilaris Publisher

【 摘 要 】

The purpose of my paper is to bring a method for solving polynomial equations using basic algebra and seriesand also using combinatorics. A series which converges to the solutions of polynomial equations. The contribution ofthis method is that it leads directly to precise results to find the roots of a polynomial equation of any degree startingfrom second degree to infinity and also for the solving of radicals since radicals are a particular type of polynomialequations for example to find the square root of 2 sends to solve the equation x2=2. A general formula for the serieswhich converges to the solutions of polynomial equations. For complex solutions we write for a polynomial P(x),P(a+bi)=P(a-bi)=0 and to solve this separately for imaginary part and real part of the solution sends to solve forregular polynomial equations at one variable so we can use the method which is developed to find the solutions.

【 授权许可】

Unknown