document.write( "Question 1177207: The sum of two numbers is −34. You want to maximize their product. Determine the two numbers m and n using the method of completing the square. Show your work.
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Algebra.Com's Answer #805489 by ikleyn(52786) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "            The \"solution\" by @MathLover1 is irrelevant to the posed problem, since she solved DIFFERENT problem.\r
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\n" ); document.write( "\n" ); document.write( "            So I came to bring the TRUE solution.\r
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\n" ); document.write( "\n" ); document.write( "The sum of two numbers is $\"-34\"$ . \r
\n" ); document.write( "\n" ); document.write( " $\"x%2By=-34\"$
\n" ); document.write( " $\"y=-34-x\"$ \r
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\n" ); document.write( "\n" ); document.write( "their product: \r
\n" ); document.write( "\n" ); document.write( " $\"xy\"$ ...........substitute $\"y\"$ \r
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\n" ); document.write( "\n" ); document.write( "= $\"x%28-34-x%29\"$
\n" ); document.write( "= $\"-34x-x%5E2\"$ ............complete square
\n" ); document.write( "= $\"-%28x%5E2%2B34x%2Bb%5E2%29-%28-b%5E2%29\"$ ........ $\"b=-34%2F2=-17\"$
\n" ); document.write( "= $\"-%28x%5E2%2B34x%2B17%5E2%29%2B17%5E2\"$
\n" ); document.write( "= $\"-%28x%2B17%29%5E2%2B289\"$ \r
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\n" ); document.write( "\n" ); document.write( "=> the numbers are:   x= -17   and   y= -17.             ANSWER\r
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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