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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