Question
The sum of two numbers is 20 and their product is 96.
Find the numbers.Solution
Let the numbers be x and y. x + y = 20 and xy = 96. Using the quadratic: x² - 20x + 96 = 0. Discriminant = 20² - 4*96 = 16. Roots are x = (20 ± √16)/2 = (20 ± 4)/2. This gives us x = 12 or 8. Correct answer: a) 12, 8
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