document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=221214>Question 221214</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that X represents one of two positive numbers whose sum is 50. Determine a function F that represents the product of these two numbers. For what two such numbers is the product equal to 400? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #165973 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=165973\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose that X represents one of two positive numbers whose sum is 50. Determine a function F that represents the product of these two numbers. For what two such numbers is the product equal to 400?<BR>\n" );
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document.write( "1st number: x<BR>\n" );
document.write( "2nd number: 50-x<BR>\n" );
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document.write( "Product = 400<BR>\n" );
document.write( "x(50-x)-400 = 0<BR>\n" );
document.write( "-x^2+50x-400 = 0<BR>\n" );
document.write( "x^2 - 50x + 400 = 0<BR>\n" );
document.write( "(x-10)(x-40) = 0<BR>\n" );
document.write( "x = 10 and x = 40<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );