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    Question

    Let {x + (1/x)} = 4, then Determine the value of {x² +

    (1/x²)}
    A 12 Correct Answer Incorrect Answer
    B 14 Correct Answer Incorrect Answer
    C 10 Correct Answer Incorrect Answer
    D 18 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Given; {x + (1/x)} = 4

    On squaring both sides, we have;

    {x + (1/x)} ² = 4²

    Or, {x² + (1/x) ² + 2 × x × (1/x)} = 16

    So, {x² + (1/x) ²} = 14

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