document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=328644>Question 328644</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two numbers.  The sum of two numbers is 8.5, and their product is 18.  Find the numbers.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #235430 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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/cgi-bin/show-face.mpl?user=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=235430\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let one number be x<BR>\n" );
document.write( "the other number will be (8.5-x)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "The product = x(8.5-x) =18<BR>\n" );
document.write( "8.5x-x^2=18<BR>\n" );
document.write( "multiply by 10<BR>\n" );
document.write( "85x-10x^2=180<BR>\n" );
document.write( "rearrange the terms<BR>\n" );
document.write( "10x^2-85x+180=0<BR>\n" );
document.write( "10x^2-40x-45x+180=0<BR>\n" );
document.write( "10x(x-4)-45(x-4)=0<BR>\n" );
document.write( "(x-4)(10x-45)<BR>\n" );
document.write( "x= 4 OR x=4.5\r<BR>\n" );
document.write( "\n" );
document.write( "both satisfy the condition<BR>\n" );
document.write( "the numbers are 4 & 4.5 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );