document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=274415>Question 274415</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find x and y:<BR>\n" );
document.write( "x+y=7 and x*y=11 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #200290 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=200290\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find x and y:<BR>\n" );
document.write( "x+y=7 and x*y=11<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Substitute for \"y\" to get:<BR>\n" );
document.write( "x(7-x) = 11<BR>\n" );
document.write( "-x^2+7x = 11<BR>\n" );
document.write( "---<BR>\n" );
document.write( "-x^2 + 7x - 11 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x^2 - 7x + 11 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = [7 +- sqrt(49 -4*11)]/2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = [7 +- sqrt(5)]/2<BR>\n" );
document.write( "x = [7+sqrt(5)]/2 or x = [7-sqrt(5)]/2<BR>\n" );
document.write( "x = (7/2) + (1/2)sqrt(5) or x = (7/2) - (1/2)sqrt(5)<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Since y = 7-x <BR>\n" );
document.write( "y = (7/2)-(1/2)(sqrt)5 or y = (7/2) + (1/2)sqrt(5)<BR>\n" );
document.write( "=====================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "y = 7 -  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );