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If x-1/x=1/2 , then write the value of 4...

If `x-1/x=1/2` , then write the value of `4x^2+4/(x^2)`

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`x-1/x=1/2`
`2x-2/x=1`
squaring both side, we get
`(2x-2/x)^2=1^2`
`4x^2+4/x^2-2xx 2x xx2/x=1`
`4x^2+4/x^2-8=1`
`4x^2+4/x^2=1+8=9`
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RD SHARMA-ALGEBRAIC IDENTITIES-All Questions
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  2. If a-b=5 and a b=12 , find the value of a^2+b^2

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  3. If x-1/x=1/2 , then write the value of 4x^2+4/(x^2)

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  4. If a^2+1/(a^2)=102 , find the value of a-1/a

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