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    Question

    If x + 1/x = 4, find x⁵ +

    1/x⁵.
    A 720 Correct Answer Incorrect Answer
    B 650 Correct Answer Incorrect Answer
    C 770 Correct Answer Incorrect Answer
    D 700 Correct Answer Incorrect Answer

    Solution

    ATQ,

    x² + 1/x² = (4)² − 2 = 14 x³ + 1/x³ = (x + 1/x)(x² + 1/x² − 1) = 4(14 − 1) = 52 x⁴ + 1/x⁴ = (x² + 1/x²)² − 2 = 194 x⁵ + 1/x⁵ = (x + 1/x)(x⁴ + 1/x⁴ − x² − 1/x²) = 4(194 − 14) = 720

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