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History of Hindu Mathematics: A Source Book v2.c17.s17.t3.47

History of Hindu Mathematics: A Source Book v2.c17.s17.t3.47

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v2.c17.s17.t3.47

(2) *Form* ax² - by² + c = z². In this case first solve $au'² + c = v'².$ Then the required solution is $x = √(b/ac) v'y + u',$ $z = √(ab/c) u'y + v'.$