document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=343516>Question 343516</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I find two numbers that differ by 8 and whose product is 273 by setting up and solving with the quadratic equation? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #245830 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=245830\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  How do I find two numbers that differ by 8 and whose product is 273 by setting up and solving with the quadratic equation?<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "x - y = 8<BR>\n" );
document.write( "xy = 273<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Substitute for x and solve for \"y\":<BR>\n" );
document.write( "(y+8)y = 273<BR>\n" );
document.write( "y^2+8y-273 = 0<BR>\n" );
document.write( "(y-13)(y+21) = 0<BR>\n" );
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document.write( "1st Solution: <BR>\n" );
document.write( "y = 13 so x = 21<BR>\n" );
document.write( "---<BR>\n" );
document.write( "2nd Solution:<BR>\n" );
document.write( "y = -21 so x = -13<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );