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 #805483 by MathLover1(20850)\"\" \"About 
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\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
\n" ); document.write( "\n" ); document.write( "their product: \r
\n" ); document.write( "\n" ); document.write( "\"xy\"...........substitute \"y\"
\n" ); document.write( "=\"x%2834-x%29\"
\n" ); document.write( "=\"34x-x%5E2\"............complete square
\n" ); document.write( "=\"-%28x%5E2-34x%2Bb%5E2%29-%28-b%5E2%29\"........\"b=34%2F2=17\"
\n" ); document.write( "=\"-%28x%5E2-34x%2B17%5E2%29%2B17%5E2\"
\n" ); document.write( "=\"-%28x-17%29%5E2%2B289\"\r
\n" ); document.write( "\n" ); document.write( "=> numbers are: \"x=17\" and\"+y=17\"
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