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History of Hindu Mathematics: A Source Book v2.c17.s8.21

History of Hindu Mathematics: A Source Book v2.c17.s8.21

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v2.c17.s8.21

The solution of a certain interest problem involves the solution of the quadratic $tx² + px - Ap = 0.$ Āryabhaṭa gives the value of x in the form\2 $x = (√(Apt + (p/2)²) - p/2)/t.$