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x + 1/x = k: find x^5 + 1/x^5

The same question, asked 2 times: 17 Jul 2023 S2*, 17 Jul 2023 S3. Every wording below, oldest first.

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  1. Question 1

    17 Jul 2023 S2

    54
    If a+1a=7a + \frac{1}{a} = 7, then a5+1a5a^5 + \frac{1}{a^5} is equal to:

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  2. Question 2

    17 Jul 2023 S3

    75
    If x+1x=−6x + \frac{1}{x} = -6, what will be the value of x5+1x5x^5 + \frac{1}{x^5}?

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