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If A2 + B2 = 41 and Ab = 4, Find : a + B - Mathematics

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Question

If a2 + b2 = 41 and ab = 4, find : a + b

Sum

Solution

(a + b)2 = a2 + b2 + 2ab

= 41 + 2(4)

= 41 +  8

= 49

⇒ (a + b)2 = 49

∴ a + b = 7

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Important Formula of Expansion
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Chapter 12: Identities - Exercise 12 (D) [Page 155]

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Selina Concise Mathematics [English] Class 8 ICSE
Chapter 12 Identities
Exercise 12 (D) | Q 6.2 | Page 155
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