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    Question

    If {x + (1/x)} = 4, then find the value of

    {x2 + (1/x2)}
    A 26 Correct Answer Incorrect Answer
    B 28 Correct Answer Incorrect Answer
    C 22 Correct Answer Incorrect Answer
    D 24 Correct Answer Incorrect Answer

    Solution

    Given; {x + (1/x)} = 6 On squaring both sides, we have; {x + (1/x)}2 = 62 Or, {x2 + (1/x)2 + 2 × x × (1/x)} = 36 So, {x2 + (1/x)2} = 24

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