document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=284231>Question 284231</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 23. The sum of the squares of the two numbers is 325. 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 #206283 by </B><A HREF=/tutors/aboutme.mpl?userid=hello_me><B>hello_me(3)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=hello_me><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=206283\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> so x + y = 23<BR>\n" );
document.write( "and x2 + y2 = 325<BR>\n" );
document.write( "therefore using subsitution:<BR>\n" );
document.write( "x=23-y<BR>\n" );
document.write( "so<BR>\n" );
document.write( "(23-y)2 + y2 = 325<BR>\n" );
document.write( "so when we expand we get<BR>\n" );
document.write( "529-46y+2y2 = 325<BR>\n" );
document.write( "2y2-46y+204=102<BR>\n" );
document.write( "by factorising we get<BR>\n" );
document.write( "2(y-17)(y-6)=0 <BR>\n" );
document.write( "and therefore our numbers are 17 and 6 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );