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    Question

    The sum of two numbers is 20 and their product is 96.

    Find the numbers.
    A 12, 8 Correct Answer Incorrect Answer
    B 16, 4 Correct Answer Incorrect Answer
    C 10, 10 Correct Answer Incorrect Answer
    D 14, 6 Correct Answer Incorrect Answer

    Solution

    Let the numbers be x and y. x + y = 20 and xy = 96. Using the quadratic: x┬▓ - 20x + 96 = 0. Discriminant = 20┬▓ - 4*96 = 16. Roots are x = (20 ┬▒ тИЪ16)/2 = (20 ┬▒ 4)/2. This gives us x = 12 or 8. Correct answer: a) 12, 8

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