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x + 1/x = k: find x^4 + 1/x^4

The same question, asked 2 times: 17 Jul 2023 S4*, 24 Jul 2023 S4. Every wording below, oldest first.

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  1. Question 1

    17 Jul 2023 S4

    61
    If (x+1x)=10\left(x + \frac{1}{x}\right) = 10, what is the value of (x4+1x4)\left(x^4 + \frac{1}{x^4}\right)?

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  2. Question 2

    24 Jul 2023 S4

    74
    If x+1x=9x + \frac{1}{x} = 9, then find x4+1x4x^4 + \frac{1}{x^4}.

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