Question

    If (u + v) = 11 and uv = 24, then find the value of (u² +

    v²).
    A 65 Correct Answer Incorrect Answer
    B 69 Correct Answer Incorrect Answer
    C 73 Correct Answer Incorrect Answer
    D 75 Correct Answer Incorrect Answer

    Solution

    According to the question,
    (u + v) ² = 11²
    ⇒ u² + v² + 2uv = 121
    ⇒ u² + v² + 2(24) = 121
    ⇒ u² + v² + 48 = 121
    ⇒ u² + v² = 121 – 48 = 73

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