History of Hindu Mathematics: A Source Book v2.c17.s15.30
History of Hindu Mathematics: A Source Book v2.c17.s15.30
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v2.c17.s15.30
Applying the Principle of Composition of Equals, we get $103(2 . 47 . 477)² + 4 = (477² + 103 . 47²)²,$ $or 103(44838)² + 4 = (455056)².$ Hence 103(22419)² + 1 = (227528)², which gives x = 22419, y = 227528 as a solution of (*iii*).