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    Question

    If (a + b) = 8 and ab = 10, then find the value of

    (a2 + b2).
    A 56 Correct Answer Incorrect Answer
    B 60 Correct Answer Incorrect Answer
    C 34 Correct Answer Incorrect Answer
    D 44 Correct Answer Incorrect Answer

    Solution

    According to the question,

    (a + b)2 = 82

    Or, a2 + b2 + 2ab = 64

    Or, a2 + b2 + 20 = 64

    So, a2 + b2 = 64 - 20 = 44

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