document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042513>Question 1042513</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 25 and the sum of their squares is 325. Find the number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #657500 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=657500\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If:<BR>\n" );
document.write( "x+y = 25<BR>\n" );
document.write( "then:<BR>\n" );
document.write( "y = 25-x We'll use this value for y: <BR>\n" );
document.write( "x^2+(25-x)^2 = 325<BR>\n" );
document.write( "x^2+625-50x+x^2 = 325<BR>\n" );
document.write( "2x^2-50x+300 = 0<BR>\n" );
document.write( "x^2-25x+150=0<BR>\n" );
document.write( "x=[25+-sqrt(625-4*150)]/2<BR>\n" );
document.write( "x=[25+-5]/2<BR>\n" );
document.write( "x=15 or x=10<BR>\n" );
document.write( "So we have our two numbers, 15 and 10. Check:<BR>\n" );
document.write( "15+10 = 25<BR>\n" );
document.write( "15^2+10^2 = 225+100 = 325<BR>\n" );
document.write( "Correct.<BR>\n" );
document.write( "John </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );