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    Question

    If (m + n) = 9 and mn = 14, then find the value of (m²

    + n²).
    A 53 Correct Answer Incorrect Answer
    B 59 Correct Answer Incorrect Answer
    C 47 Correct Answer Incorrect Answer
    D 60 Correct Answer Incorrect Answer

    Solution

    According to the question,
    (m + n) ² = 9²
    ⇒ m² + n² + 2mn = 81
    ⇒ m² + n² + 2(14) = 81
    ⇒ m² + n² + 28 = 81
    ⇒ m² + n² = 81 – 28 = 53

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