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    Question

    Given that x8-34x4+1=0, x>0.

    What is the value of (x3+ x-3)?
    A 5тИЪ8 Correct Answer Incorrect Answer
    B 5 тИЪ6 Correct Answer Incorrect Answer
    C 6тИЪ8 Correct Answer Incorrect Answer
    D 6тИЪ6 Correct Answer Incorrect Answer

    Solution

    Divide given equation by x4 = x4 + 1/x4 = 34 = add 2 both side x2 + 1/x2 = 6 = add both the side again = x + 1/x = √8 = x3 + 1/x3 = 8√8 – 3 × √8 = 5√8

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