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      Question

      If [6a + (1/3a)] = 7, then find the value of [36a² +

      (1/9a²) - 4]
      A 39 Correct Answer Incorrect Answer
      B 41 Correct Answer Incorrect Answer
      C 43 Correct Answer Incorrect Answer
      D 45 Correct Answer Incorrect Answer

      Solution

      [6a + (1/3a)] = 7
      On squaring both sides,
      Or, 36a² + (1/9a²) + 2 × 6a × (1/3a) = 49
      Or, 36a² + (1/9a²) + 4 = 49
      So, 36a² + (1/9a²) = 45
      Required value = 45 - 4 = 41

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