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History of Hindu Mathematics: A Source Book v2.c17.s21.20

History of Hindu Mathematics: A Source Book v2.c17.s21.20

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v2.c17.s21.20

On dividing 30 by 7 the remainder is found to be 2; we also know that 2 + 7.2 = 4². Therefore, we assume in accordance with the above rule $y = 7u ± 4;$ whence we get $x = 7u² ± 8u - 2,$ which is the general solution.