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    Question

    If x 4  + 1/x 4  = 194, x > 0, then

    find the value of x + 1/x + 2.
    A 14 Correct Answer Incorrect Answer
    B 6 Correct Answer Incorrect Answer
    C 8 Correct Answer Incorrect Answer
    D 4 Correct Answer Incorrect Answer

    Solution

    Since, x 4  + 1/x 4  = 194

    So, x 2  + 1/x 2  = √(194 + 2) = 14

    Or, x + 1/x = √(14 + 2) = 4

    So, x + 1/x + 2 = 4 + 2 = 6

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