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
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Keywords:
Transcendental equation, Integer solutions, Continued fraction, Pell equation, Recurrence relationAbstract
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.
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