document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=440838>Question 440838</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to know how to set up this problem.\r<BR>\n" );
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document.write( "The sum of two numbers is -17. Their product is 66. 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 #304431 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=304431\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x, y be the two numbers.<BR>\n" );
document.write( "Given:<BR>\n" );
document.write( "x + y = -17<BR>\n" );
document.write( "x*y = 66<BR>\n" );
document.write( "From the 2nd equation, y = 66/x<BR>\n" );
document.write( "Substitute this value for y in the 1st equation:<BR>\n" );
document.write( "x + 66/x = -17<BR>\n" );
document.write( "Multiply through by x:<BR>\n" );
document.write( "x^2 + 66 = -17x -> x^2 + 17x + 66 = 0<BR>\n" );
document.write( "Solve for x using the quadratic formula:<BR>\n" );
document.write( "x = (-17 +- sqrt(17^2 - 264))/2 -> x = (-17 +- 5)/2<BR>\n" );
document.write( "This gives x = -11, -6<BR>\n" );
document.write( "Which means y = -6, -11<BR>\n" );
document.write( "So the two numbers are: -6, -11 </SPAN>\n" );
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