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    Question

    If (x – 1/x) = 3, find (x³ –

    1/x³).
    A 42 Correct Answer Incorrect Answer
    B 36 Correct Answer Incorrect Answer
    C 27 Correct Answer Incorrect Answer
    D 19 Correct Answer Incorrect Answer

    Solution

    ATQ,

    (x – 1/x)³ = x³ – 1/x³ – 3(x – 1/x) 27 = (x³ – 1/x³) – 9 ⇒ x³ – 1/x³ = 36.

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