SOLUTION: The sum of two numbers is 20. What is their greatest possible product?

Question 274437: The sum of two numbers is 20. What is their greatest possible product?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The sum of two numbers is 20. What is their greatest possible product?
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Equations:
x + y = 20
Product = xy
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P = x(20-x)
P = -x^2 + 20x
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You have a quadratic with a = -1, b = 20
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Maximum occurs when x = -b/2a = -20/-2 = 10
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Greatest product = xy = 10*10 = 100
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Cheers,
Stan H.
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