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      Question

      Given that (3a + 7b = 54) and (ab = 24), determine the

      value of (9a2 + 49b2).
      A 2124 Correct Answer Incorrect Answer
      B 1784 Correct Answer Incorrect Answer
      C 1908 Correct Answer Incorrect Answer
      D 2412 Correct Answer Incorrect Answer

      Solution

      Given, (3a + 7b) = 54

      Squaring both sides, we get;

      9a2 + 49b2 + 2 X 21ab = 2916

      Or, 9a2 + 49b2 = 2916 - 42 X 24

      Or, 9a2 + 49b2 = 1908

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