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 #165972 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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=165972\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let  x  and  y  be  numbers<BR>\n" );
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document.write( "x+y =50,,,,or  x= 50-y<BR>\n" );
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document.write( "product  =  x*y = 400,,,,subst<BR>\n" );
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document.write( "(50-y) * y = 400<BR>\n" );
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document.write( "50y -y^2 =400<BR>\n" );
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document.write( "0= y^2 -50y +400<BR>\n" );
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document.write( "(y-10) (y-40) = 0<BR>\n" );
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document.write( "y=10,  or,,,y=40<BR>\n" );
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document.write( "whereas,,  x= 40  or  x=10<BR>\n" );
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document.write( "therefore,,,numbers  are  10,,,and  40<BR>\n" );
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document.write( "check  10+40 = 50,,,ok,,,,,,10*40 = 400,,,ok<BR>\n" );
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document.write( " </SPAN>\n" );
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