If A2 + B2= 10 and Ab = 3; Find : A + B - Mathematics

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Sum

If a2 + b2= 10 and ab = 3; find :  a + b

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Solution

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

⇒ (a + b)2 = 10 + 2×3

⇒ (a + b)2 = 10 + 6

⇒ (a + b)2 =  16

⇒ (a + b) = `sqrt16`

⇒ a + b = ±4

Concept: Application of Formulae
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 12 Identities
Exercise 12 (C) | Q 4.2 | Page 154
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