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x^2 +/- 1/x^2 given: find x^2 -/+ 1/x^2 or x^4 - 1/x^4

This type of question, asked 3 times: 17 Jul 2023 S1, 26 Jul 2023 S1, 27 Jul 2023 S2. All 3 questions below, oldest first.

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  1. Question 1

    17 Jul 2023 S1

    72
    If (x2+1x2)=7(x^2 + \frac{1}{x^2}) = 7, and 0<x<10 < x < 1, find the value of x2−1x2x^2 - \frac{1}{x^2}.

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  2. Question 2

    26 Jul 2023 S1

    57
    If (x2+1x2)=6\left(x^2 + \frac{1}{x^2}\right) = 6, and 0<x<10 < x < 1, what is the value of x4−1x4x^4 - \frac{1}{x^4}?

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  3. Question 3

    27 Jul 2023 S2

    53
    If x2−1x2=42x^2 - \frac{1}{x^2} = 4\sqrt{2}, what is the value of x4−1x4x^4 - \frac{1}{x^4}?

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