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History of Hindu Mathematics: A Source Book v2.c17.s16.53

History of Hindu Mathematics: A Source Book v2.c17.s16.53

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v2.c17.s16.53

Thus it has been said that a rational solution of $Nx² - 1 = y²,$ and consequently of $Nx² - k² = y²$ is not possible unless N is the sum of two squares.