History of Hindu Mathematics: A Source Book v2.c17.s25.69
History of Hindu Mathematics: A Source Book v2.c17.s25.69
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v2.c17.s25.69
*First Method.* As directed in the above rule, assume $u = w - 1.$ Then $x - y = (w - 1)² - 3 = w² - 2w - 2,$ $x + y = (w - 1 + 2)² - 3 = w² + 2w - 2.$ Therefore $x = w² - 2, y = 2w.$