document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=346501>Question 346501</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two numbers have a product of 45 and a difference of 12.  What are these two numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #247739 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=247739\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two numbers have a product of 45 and a difference of 12. <BR>\n" );
document.write( "What are these two numbers?<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "xy = 45<BR>\n" );
document.write( "x-y = 12<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x = 12+y<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Substitute and solve for \"y\":<BR>\n" );
document.write( "(12+y)y = 45<BR>\n" );
document.write( "y^2+12y-45 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "(y+15)(y-3) = 0<BR>\n" );
document.write( "y = -15 or y = 3<BR>\n" );
document.write( "---<BR>\n" );
document.write( "If y = -15, x = -3<BR>\n" );
document.write( "----<BR>\n" );
document.write( "If y = 3, x = 15<BR>\n" );
document.write( "==============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );