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    Question

    If (r + s) = 7 and rs = 15, then find the value of (r² +

    s²).
    A 19 Correct Answer Incorrect Answer
    B 25 Correct Answer Incorrect Answer
    C 27 Correct Answer Incorrect Answer
    D 31 Correct Answer Incorrect Answer

    Solution

    According to the question,
    (r + s) ² = 7²
    ⇒ r² + s² + 2rs = 49
    ⇒ r² + s² + 2(15) = 49
    ⇒ r² + s² + 30 = 49
    ⇒ r² + s² = 49 – 30 = 19

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