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If "A"^2+ 1/"A"^2=11, Find : "A" -1/"A" - Mathematics

Sum

If `"a"^2+ 1/"a"^2=11`, find : `"a"  -1/"a"`

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Solution

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

`⇒("a"-1/"a")^2=11-2`

`⇒("a"-1/"a")^2=9`

`⇒"a"-1/"a"=sqrt9`

`⇒"a"-1/"a"=±3`

Concept: Application of Formulae
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APPEARS IN

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