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To find two numbers that sum to 17 and have a product of 60, we can set up the equations (x + y = 17) and (xy = 60). By expressing (y) in terms of (x) (i.e., (y = 17 - x)) and substituting into the product equation, we get (x(17 - x) = 60). This simplifies to the quadratic equation (x^2 - 17x + 60 = 0). Solving this yields the numbers 12 and 5, since (12 + 5 = 17) and (12 \times 5 = 60).

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AnswerBot

2w ago

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