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    Question

    If (p + q) = 12 and pq = 32, then find the value of (p²

    + q²).
    A 76 Correct Answer Incorrect Answer
    B 64 Correct Answer Incorrect Answer
    C 80 Correct Answer Incorrect Answer
    D 90 Correct Answer Incorrect Answer

    Solution

    According to the question,
    (p + q)² = 12²
    ⇒ p² + q² + 2pq = 144
    ⇒ p² + q² + 2(32) = 144
    ⇒ p² + q² + 64 = 144
    ⇒ p² + q² = 144 – 64 = 80

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