If x + 1/x = 5, then value of x² + 1/x² = ?

  1. 21
  2. 23
  3. 25
  4. 27
Anurag Mishra Professor Asked on 18th April 2016 in Maths.
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  • 1 Answer(s)

    Answer: (B) 23

    Solution:-
    X + 1/X = 5
    Square on both side,
    (X + 1/X)2 = 25
    X2 + 1/X2 + 2 x X x 1/X = 25
    X2 + 1/X2 + 2 = 25
    X2 + 1/X2 = 25 – 2
    X2 + 1/X2 = 23

    Then, the value of X2 + 1/X2 = 23.

    Hence, the correct answer is option (B) 23.

    Anurag Mishra Professor Answered on 23rd April 2016.
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