document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=294743>Question 294743</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two positive numbers have a difference of 4 and a product of 96. What are 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 #212530 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=212530\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two positive numbers have a difference of 4 and a product of 96. What are the numbers<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "x - y = 4<BR>\n" );
document.write( "xy = 96<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Rearrange to get:<BR>\n" );
document.write( "x = y+4<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Substitute for \"x\" and solve for \"y\":<BR>\n" );
document.write( "(y+4)y = 96<BR>\n" );
document.write( "y^2 + 4y - 96 = 0<BR>\n" );
document.write( "(y-8)(y+12) = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "y = 8<BR>\n" );
document.write( "----<BR>\n" );
document.write( "If y = 8 then 8x = 96<BR>\n" );
document.write( "x = 12<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );