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If x^2+1/(x^2)=27 , find the value of ea...

If `x^2+1/(x^2)=27 ,` find the value of each of the following: `x-1/x`

Text Solution

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"given `x^2+1/(x^2)=27`
`(x-1/x)^2+2=27`
`x-1/x=25^(1/2)`
`x-1/x=5`
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Knowledge Check

  • If x^2+1/x^2=27 ,then value of x+1/x is

    A
    9
    B
    29
    C
    `sqrt29`
    D
    3
  • If 2 : 9 :: x : 27 , find the value of x.

    A
    8
    B
    5
    C
    6
    D
    7
  • If 3^(x+8)=27^(2x+1) , the value of x is

    A
    `7`
    B
    3
    C
    `-2`
    D
    1
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