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    Question

    If [5a - (1/2a)] = 7, then find the value of [25a² +

    (1/4a²) - 3]
    A 50 Correct Answer Incorrect Answer
    B 52 Correct Answer Incorrect Answer
    C 51 Correct Answer Incorrect Answer
    D 53 Correct Answer Incorrect Answer

    Solution

    [5a - (1/2a)] = 7
    On squaring both sides,
    Or, 25a² + (1/4a²) - 2 × 5a × (1/2a) = 49
    Or, 25a² + (1/4a²) - 5 = 49
    So, 25a² + (1/4a²) = 54
    Required value = 54 - 3 = 51

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