Ononot — The fundamental solution to Pell's equation x^2 - 2y^2 = 1 i

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Diophantine Equationseasy

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The fundamental solution to Pell's equation $x^2 - 2y^2 = 1$ is $(x_0, y_0) = (3, 2)$ . New solutions are generated by the recurrence: $x_{n+1} = 3x_n + 4y_n$ and $y_{n+1} = 2x_n + 3y_n$ . What is the next solution $(x_1, y_1)$ ?