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    Question

    If for non-zero x, x┬▓ - 4x - 1 = 0, what is the value

    of x┬▓ + 1/x┬▓?
    A 4 Correct Answer Incorrect Answer
    B 10 Correct Answer Incorrect Answer
    C 12 Correct Answer Incorrect Answer
    D 18 Correct Answer Incorrect Answer

    Solution

    Given, x┬▓ - 4x - 1 = 0 тЗТ x - 4 - 1/x = 0┬а┬а [Dividing both sides by x] тЗТ x - 1/x = 4 тЗТ (x - 1/x)┬▓ = 4┬▓┬а┬а [Squaring on both sides] тЗТ x┬▓ + 1/x┬▓ - 2 = 16 тЗТ x┬▓ + 1/x┬▓ = 18

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