document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=559331>Question 559331</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two real numbers that have a sum of 5 and the same two numbers that multipled equal 5. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #363375 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=363375\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x+y =5\r<BR>\n" );
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document.write( "xy = 5<BR>\n" );
document.write( "x=5/y\r<BR>\n" );
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document.write( "substitute x in first equation<BR>\n" );
document.write( "5/y +y =5\r<BR>\n" );
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document.write( "multiply equation by y<BR>\n" );
document.write( "5+y^2=5y<BR>\n" );
document.write( "y^2-5y+5=0\r<BR>\n" );
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document.write( "y^2-5y=-5\r<BR>\n" );
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document.write( "complete the square on the left side<BR>\n" );
document.write( "y^2-5y+25/4=-5+25/4<BR>\n" );
document.write( "(y-5/2)^2= 5/4<BR>\n" );
document.write( "take the square root<BR>\n" );
document.write( "y-5/2 = +/- sqrt(5)/2<BR>\n" );
document.write( "y= 5/2 + sqrt(5)/2 = (5+sqrt5)/2<BR>\n" );
document.write( "y=3.618<BR>\n" );
document.write( "OR<BR>\n" );
document.write( "y= 5/2 -sqrt(5)/2<BR>\n" );
document.write( "y= (5-sqrt(5))/2<BR>\n" );
document.write( "y=1.38 </SPAN>\n" );
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