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x + 1/x = k: find x^2 + 1/x^2

The same question, asked 2 times: 10 Sep 2024 S1*, 13 Sep 2025 S2. Every wording below, oldest first.

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  1. Question 1

    10 Sep 2024 S1

    68
    If a+1a=12a + \frac{1}{a} = 12, then find the value of a2+1a2a^2 + \frac{1}{a^2}.

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  2. Question 2

    13 Sep 2025 S2

    75
    Given, x+1x=5x + \frac{1}{x} = 5, then determine the value of x2+1x2x^2 + \frac{1}{x^2}.

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