document.write( "Question 476674: What is the minimum product of two numbers whose difference is 6?
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document.write( "What are the numbers? \n" );
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Algebra.Com's Answer #326845 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! What is the minimum product of two numbers whose difference is 6? \n" ); document.write( "------ \n" ); document.write( "x - y = 6 \n" ); document.write( "So x = y+6 \n" ); document.write( "----- \n" ); document.write( "product = xy = (y+6)y = y^2+6y \n" ); document.write( "--- \n" ); document.write( "You have a quadratic equation: \n" ); document.write( "y^2 + 6y = Product \n" ); document.write( "---- \n" ); document.write( "The mimimum occurs when y = -b/(2a) = -6/(2*1)= -3 \n" ); document.write( "--- \n" ); document.write( "Solve for \"x\": \n" ); document.write( "x = y+6 \n" ); document.write( "x = -3+6 = 3 \n" ); document.write( "---- \n" ); document.write( "Minimum product = xy = 3*-3 = -9 \n" ); document.write( "==================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "==================================== \n" ); document.write( " |