document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=725734>Question 725734</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One number is three less than another number. The sum of their squares is 117. What are the 2 numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #444292 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley79><B>checkley79(3341)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley79><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=444292\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x & x-3 be thw 2 numbers.<BR>\n" );
document.write( "x^2+(x-3)^2=117<BR>\n" );
document.write( "x^2+x^2-6x+9=117<BR>\n" );
document.write( "2x^2-6x+9-117=0<BR>\n" );
document.write( "2x^2-6x-108=0<BR>\n" );
document.write( "2(x^2-3x-54)=0<BR>\n" );
document.write( "2(x-9)(x+6)=0<BR>\n" );
document.write( "x-9=0<BR>\n" );
document.write( "x=9 ans for the larger number.<BR>\n" );
document.write( "9-3=6 ans. for the smaller number.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "6^2+9^2=117<BR>\n" );
document.write( "36+81=117<BR>\n" );
document.write( "117=117 </SPAN>\n" );
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