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History of Hindu Mathematics: A Source Book v2.c17.s16.71

History of Hindu Mathematics: A Source Book v2.c17.s16.71

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v2.c17.s16.71

The appropriate value of the indeterminate multiplier in this case is n = 3. Substituting this value, we have $13·5² - 1 = 18².$ Hence an integral solution of our equation 13x² - 1 = y² is (5, 18).