Abstract

In this research paper, a method has been devised to solve some Diophantine equations of fourth power. To begin with, an integer is expressed as an algebraic quantity, then utilising these algebraic quantities, a quartic Diophantine equation is written as an algebraic equation of fourth power with real and rational coefficients. The quartic is, then reduced to a linear equation that gives straightway solution. The process of reduction of the quartic to linear equation entails some conditions which are incorporated in the solution. Last, use of elementary and only elementary functions makes this paper easily comprehensible to scholars and students alike.

Keywords and Phrases

Integers, Rational Quantity, Quartic, Linear, Diophantine Equation.

A.M.S. subject classification

11D25.

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