SOLUTION: what is the maximum product of two numbers whose sum is -10?

SOLUTION: what is the maximum product of two numbers whose sum is -10?

Algebra.Com

Question 1023990: what is the maximum product of two numbers whose sum is -10?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
what is the maximum product of two numbers whose sum is -10?
x + y = -10
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Product = x*y = x(-10-x) = -10x - x^2
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Max occurs when x = -b/(2a) = 10/(2*-1) = -5
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Then y = -10-(-5) = -5
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Ans: x = y = -5
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Cheers,
Stan H.
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