On the Transcendental Equation With Three Unknowns $\sqrt{2z-4}=\sqrt{x+\sqrt{C}y}\pm \sqrt{x-\sqrt{C}y}$ for Different Values of C by Using the Continued Fraction Method

S. Sriram1 and P. Veeramallan1,2


1Department of Mathematics, National College (Affiliated to Bharathidasan University), Tiruchirappalli, Tamilnadu, India.
2P.G Assistant in Mathematics, GHSS, Yethapur, Salem, Tamilnadu, India.

Abstract: The Transcendental equation with three unknowns is given by $\sqrt{2z-4}=\sqrt{x+\sqrt{C}y}\pm \sqrt{x-\sqrt{C}y}$ is considered and analyzed for finding a different set of integer solutions utilizingthe continued fraction method, under numerous patterns with some numerical examples.
Keywords: Transcendental equation, Integer solutions, Continued fraction, Pell equation, Recurrence relation.


Cite this article as: S. Sriram and P. Veeramallan, On the Transcendental Equation With Three Unknowns $\sqrt{2z-4}=\sqrt{x+\sqrt{C}y}\pm \sqrt{x-\sqrt{C}y}$ for Different Values of C by Using the Continued Fraction Method, Int. J. Math. And Appl., vol. 10, no. 1, 2022, pp. 51-57.

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