History of Hindu Mathematics: A Source Book v2.c17.s17.t5.30

v2.c17.s17.t5.30

Multiplying by 2at, we get the following solution of ax² + bxy + cy² = z² in integers : $x = s q (2ar + b) ± 2α mp - b,$ $y = 2as,$ $z = as2mq ± p(2ar + b);$ where α p² + 1 = q² and m² = ar² + br + c.