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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