document.write( "Question 808467: Among all pairs of numbers whose sum is negative eighteen (-18), find the pair of numbers whose product is as large as possible. Evaluate algebraic methods for solving the problems and show your work. What are the numbers? What is the maximum product? \n" ); document.write( "
Algebra.Com's Answer #487018 by stanbon(75887)\"\" \"About 
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Among all pairs of numbers whose sum is negative eighteen (-18), find the pair of numbers whose product is as large as possible. Evaluate algebraic methods for solving the problems and show your work. What are the numbers? What is the maximum product?
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\n" ); document.write( "Equations:
\n" ); document.write( "x + y = -18
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\n" ); document.write( "Product:: P(x) = xy = x(-18-x)
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\n" ); document.write( "P(x) = -x^2-18x
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\n" ); document.write( "Maximum profit occurs when x = -b/(2a) = 18/(2*-1) = -9
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\n" ); document.write( "Solve for \"y\":
\n" ); document.write( "x + y = -18
\n" ); document.write( "-9 + y = -18
\n" ); document.write( "y = -9
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\n" ); document.write( "Answer: The numbers are -9 and -9.
\n" ); document.write( "The maximum product is -9*-9 = 81
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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