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If 2"A"+1/(2"A")=8, Find : 4"A"^2+1/(4"A"^2) - Mathematics

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Question

If `2"a"+1/(2"a")=8`, find : `4"a"^2+1/(4"a"^2)`

Sum

Solution

`4"a"^2+1/(4"a"^2)=(2"a"+1/(2"a"))^2-2.2"a"1/(2"a")`

`(2"a"+1/(2"a"))^2-2`

= (8)2 − 2

= 64 − 2

= 62

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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 7.1 | Page 155
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