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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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