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If x^4+1/(x^4)=47 , find the value of x^...

If `x^4+1/(x^4)=47 ,` find the value of `x^3+1/x^3`

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To find the value of \( x^3 + \frac{1}{x^3} \) given that \( x^4 + \frac{1}{x^4} = 47 \), we can follow these steps: ### Step 1: Relate \( x^4 + \frac{1}{x^4} \) to \( x^2 + \frac{1}{x^2} \) We know that: \[ x^4 + \frac{1}{x^4} = \left( x^2 + \frac{1}{x^2} \right)^2 - 2 ...
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Knowledge Check

  • If x^4 + (1)/(x^4) =727 , then find the value of x^3 - (1)/(x^3)

    A
    140
    B
    120
    C
    190
    D
    160

  • If x^(4)+(1)/(x^(4))=194 . Find the value of (x^(3)+(1)/(x^(3))) .

    A
    `54`
    B
    `52`
    C
    `64`
    D
    `62`

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    If x-(1)/(x)=3, find the values of x^(2)+(1)/(x^(2)) and x^(4)+(1)/(x^(4))

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