If a – B = 6 and Ab = 16, Find A2 + B2 - Mathematics

If a – b = 6 and ab = 16, find a² + b²

Sum

(a − b)² = a²+ b² − 2ab

⇒ (6)²= a² + b² − 2×16

⇒ 36 = a² + b² − 32

⇒ 36 + 32 = a² + b²

⇒ 68 = a² + b²

∴ a² + b² = 68

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Application of Formulae

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Chapter 12: Identities - Exercise 12 (C) [Page 154]

Chapter 12 Identities
Exercise 12 (C) | Q 2 | Page 154

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