Find The Value ? If

If (X24 + 1)/ X12 = 7 then the value of (X72 + 1)/ X36 is :

  1. 433
  2. 322
  3. 343
  4. 432
Monis Rasool Professor Asked on 18th August 2015 in Maths.
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  • 1 Answer(s)

    Answer:  (2) 322

    Explanation:-
    (x24 + 1)/x12 = 7
    x24/x12 + 1/ x12 = 7
    x12 + 1/x12 = 7                        ……………. (1)
    Cube on both sides,
    (x12 + 1/ x12)3 = 73
    (x12)3 + (1/x12)3 + 3 (x12 + 1/x12) = 73
    x36 + 1/x36 + 3 x 7 = 343                 (from equation 1)
    x36 + 1/x36 = 343 – 21
    x36 + 1/x36 = 322

    Hence, the answer is (2) 322.

    Anurag Mishra Professor Answered on 22nd August 2015.
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