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      Question

      If 2a - 3b = 8 and ab = 7, then find the value of 2a +

      3b.
      A 2√58 Correct Answer Incorrect Answer
      B 3√58 Correct Answer Incorrect Answer
      C 5√58 Correct Answer Incorrect Answer
      D 2√66 Correct Answer Incorrect Answer

      Solution

      Squaring both the sides
      64 = 4a² + 9b² - 12(7)
      64 + 84 = 4a² + 9b²
      148 = 4a² + 9b²
      (2a + 3b)² = 148 + 84 = 232
      (2a + 3b) = 2√58

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