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    Question

    If [2a + (1/2a)] = 5, then find the value of [4a² +

    (1/4a²) - 6]
    A 15 Correct Answer Incorrect Answer
    B 17 Correct Answer Incorrect Answer
    C 19 Correct Answer Incorrect Answer
    D 21 Correct Answer Incorrect Answer

    Solution

    [2a + (1/2a)] = 5
    On squaring both sides,
    Or, 4a² + (1/4a²) + 2 × 2a × (1/2a) = 25
    Or, 4a² + (1/4a²) + 2 = 25
    So, 4a² + (1/4a²) = 23
    Required value = 23 - 6 = 17

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