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      Question

      If (a2  + 1/a2 ) = 66, then find

      the value of (a3  – 1/a3 ).
      A 536 Correct Answer Incorrect Answer
      B 478 Correct Answer Incorrect Answer
      C 522 Correct Answer Incorrect Answer
      D 534 Correct Answer Incorrect Answer

      Solution

      Since, (a 2  + 1/a 2 ) = 66

      So, a + 1/a = √(66 – 2) = 8

      So, (a 3  – 1/a 3 ) = 8 3  + 3 × 8 = 512 + 24 = 536

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