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    Question

    If [3a + (1/2a)] = 5, then find the value of [9a² +

    (1/4a²) - 6]
    A 14 Correct Answer Incorrect Answer
    B 16 Correct Answer Incorrect Answer
    C 18 Correct Answer Incorrect Answer
    D 20 Correct Answer Incorrect Answer

    Solution

    [3a + (1/2a)] = 5
    On squaring both sides,
    Or, 9a² + (1/4a²) + 2 × 3a × (1/2a) = 25
    Or, 9a² + (1/4a²) + 3 = 25
    So, 9a² + (1/4a²) = 22
    Required value = 22 - 6 = 16

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