document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=819991>Question 819991</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What two numbers add together to make 94 and multiply together to get 360 ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #493318 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=493318\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x - one number and y = the other. Then:<BR>\n" );
document.write( "x + y = 94<BR>\n" );
document.write( "x*y = 360<br><BR>\n" );
document.write( "We will use the Substitution Method to solve. Solving the first equation for y we get:<BR>\n" );
document.write( "y = -x + 94<BR>\n" );
document.write( "Substituting for y in the other equation:<BR>\n" );
document.write( "x*(-x+94) = 360<BR>\n" );
document.write( "Now we solve this. First we simplify:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%5E2%2B94x+=+360 ALIGN=MIDDLE  ALT=\"-x%5E2%2B94x+=+360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since this is a quadratic equation we want one side to be zero. Since I also like a positive coefficient in fromt of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > I'll add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and subtract 94x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+x%5E2-94x%2B360 ALIGN=MIDDLE  ALT=\"0+=+x%5E2-94x%2B360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Next we factor:<BR>\n" );
document.write( "0 = (x-90)(x-4)<BR>\n" );
document.write( "Zero Product Property:<BR>\n" );
document.write( "x-90 = 0 or x-4 = 0<BR>\n" );
document.write( "Solving these:<BR>\n" );
document.write( "x = 90 or x = 4<br><BR>\n" );
document.write( "Finding y (using y = -x + 94):<BR>\n" );
document.write( "For x = 90: y = -(90) + 94 = 4<BR>\n" );
document.write( "For x = 4: y = -(4) + 94 = 90<br><BR>\n" );
document.write( "So the two numbers are 4 and 90. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );