A Note on Few Interesting Approaches of Solving Equations to Find the Number of Real Zeros

A Note on Few Interesting Approaches of Solving Equations to Find the Number of Real Zeros

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Prabir Kumar Paul

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A Note on Few Interesting Approaches of Solving Equations to Find the Number of Real Zeros

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Abstract

Be it in the world of mathematics or real life, it is often rewarding to think out-of-the box while solving a problem. Accordingly, in this paper, our aim is to explore the various alternative approaches for solving algebraic equations and finding the number of real zeros. We will further delve deeper into the conceptual part of mathematics and understand how implementation of simple ideas can lead to an acceptable solution, which otherwise would have been tedious by considering the conventional approaches. In the pursuit of achieving the objective of this paper, we will consider few examples with full solutions coupled with precise explanation. It is also intended to leave something meaningful for the readers to explore further on their own. The fundamental objective of this paper is to emphasize on the importance of application of basic mathematical logic, concept of inequality, concept of domain and range of functions, concept of calculus and last but not the least the graphical approach in solving mathematical equations. As a further clarification on the scope of this paper, it is highly pertinent to bring to the understanding of the readers two important aspects -firstly, we will only deal with equations involving real variables; and secondly, this paper does not include topics related to number theory.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

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Not applicable for this article.

How to Cite This Article

prabir_kumar_paul. 2021. \u201cA Note on Few Interesting Approaches of Solving Equations to Find the Number of Real Zeros\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 21 (GJSFR Volume 21 Issue F2).

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GJSFR Volume 21 Issue F2

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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Classification

GJSFR-F Classification MSC 2010: 03C05

Submission ReceivedFebruary 20, 2021
Peer Review Double Blind
Handling Editor
Accepted March 21, 2021
Published March 31, 2021

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v1.2

Issue date

April 16, 2021

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