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ky + k/y = m: find y^2 + 1/y^2

The same question, asked 2 times: 20 Jul 2023 S2*, 20 Jul 2023 S3. Every wording below, oldest first.

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  1. Question 1

    20 Jul 2023 S2

    68
    If (5y+5y)=11\left(5y + \frac{5}{y}\right) = 11, find the value of (y2+1y2)\left(y^2 + \frac{1}{y^2}\right).

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  2. Question 2

    20 Jul 2023 S3

    73
    If (2y+2y)=7\left(2y + \frac{2}{y}\right) = 7, find the value of (y2+1y2)\left(y^2 + \frac{1}{y^2}\right).

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