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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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