document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118645>Question 118645</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 7.	The sum of two numbers is 17 and the sum of their square is 145.  Find the larger number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #86770 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=86770\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 17 and the sum of their square is 145.  Find the larger number.<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Let one of the numbers be \"x\"; the other is \"17-x\".<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "x^2 + (17-x)^2 = 145<BR>\n" );
document.write( "x^2 + 289 - 34x + x^2 = 145<BR>\n" );
document.write( "2x^2-34x+144=0<BR>\n" );
document.write( "x^2 - 17x + 72 = 0<BR>\n" );
document.write( "(x-9)(x-8) = 0<BR>\n" );
document.write( "x = 9 or x = 8<BR>\n" );
document.write( "If one of the numbers is 9 the other is 17-9=8<BR>\n" );
document.write( "If one of te numbers is 8 the other is 17-8=9<BR>\n" );
document.write( "================<BR>\n" );
document.write( "The larger number is 9.<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );