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What is the greatest product obtainable from two integers whose sum is 246?

 Jun 28, 2020
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The maximum product will occur at one-half the sum.

 

One-half of 246  =  123:  123 x 123  =  15129.

 

If you want to graph this, use the equation:  y  =  x(246 - x)

Its vertex occurs at (123, 15129).

 Jun 28, 2020

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