What question did this study set out to answer?

To explore Vedic Mathematics, particularly the sutra Gunitsamuchhyah, in solving algebraic equations.

June 20, 2026Open Access

Solution of Algebraic Equations by the method of Vedic Mathematics: "Gunitsamuchhyah"

PJPriyanka Dinkar JirageHimalayan University RSRohini SuryawanshiHimalayan University

Key Points

To explore Vedic Mathematics, particularly the sutra Gunitsamuchhyah, in solving algebraic equations.
Studied the mathematical meaning of the Gunitsamuchhyah sutra
Provided proofs of related theorems
Demonstrated applications in linear, quadratic, and cubic equations.
Gunitsamuchhyah offers a direct and logical approach to solving algebraic equations
Enhances conceptual understanding compared to traditional methods
Applicable for various types of algebraic equations including linear, quadratic and cubic.

Abstract

In this paper, we examine the applications of Vedic Mathematics to solve the algebraic equations. There are sixteen sutras and thirteen up-sutras in Vedic Mathematics. One of them sutras we have studied “Gunitsamuchhyah” sutra. In this paper we explore mathematical meaning, proofs of theorems and demonstrate its applications in solving linear, quadratic and cubic equations. The research concludes that Gunitsamuchhyah provides a direct, simplified, and logical approach to solving equations and enhances conceptual understanding.

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