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x - 1/x = k: find x^6 + 1/x^6

The same question, asked 2 times: 21 Jul 2023 S2*, 25 Jul 2023 S1. Every wording below, oldest first.

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  1. Question 1

    21 Jul 2023 S2

    67
    If (x−1x)=22(x - \frac{1}{x}) = 2\sqrt{2}, what is the value of (x6+1x6)(x^6 + \frac{1}{x^6})?

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  2. Question 2

    25 Jul 2023 S1

    65
    If (y−1y)=4\left(y - \frac{1}{y}\right) = 4, find the value of (y6+1y6)\left(y^6 + \frac{1}{y^6}\right).

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