Mathematics in Ancient and Medieval India c7.s5.198

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c7.s5.198

Applying the *samāsa* between : 27 & 221 & -2 / 27 & 221 & -2 We get X = 27 × 221 + 27 × 221 = 11934, Y = 221 × 221 + 67 × 27 × 27 = 97684, satisfying the equation, 67.X² + 4 = Y² or 67.(11934)² + 4 = (97684)² ... ... ... ...(5) Dividing both sides by 4, or 67.(5967)² + 1² = (48842)² (6) ∴ x = 5967 and y = 48842

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