Question

    If x + 1/x = 5 then find out the value of x⁵ +

    1/(x⁵)?
    A 1525 Correct Answer Incorrect Answer
    B 2530 Correct Answer Incorrect Answer
    C 2525 Correct Answer Incorrect Answer
    D 2025 Correct Answer Incorrect Answer

    Solution

    If x + (1/x )= 5 Then x2+ (1/x2 ) =52  – 2 = 23 and x3+(1/x3 ) =53  - 3 × 5 = 125 – 15 =  110 so x5+ (1/x5 )  = (x2+ 1/x2 ) (x3+1/x3  ) - (x + 1/x )  x5+ (1/x5 ) = (23 × 110) - (5) = 2530 - 5 = 2525

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