document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=274505>Question 274505</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The squares of three consecutive odd numbers total 8 more than nine times the sum of the three numbers. 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 #200348 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=200348\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x, x+2 & x+4 be the 3 odd numbers.<BR>\n" );
document.write( "x^2+(x+2)^2+(x+4)^2=9(x+x+2+x+4)+8<BR>\n" );
document.write( "x^2+x^2+4x+4+x^2+8x+16=9(3x+6)+8<BR>\n" );
document.write( "3x^2+12x+20=27x+54+8<BR>\n" );
document.write( "3x^2+12x-27x+20-54-8=0<BR>\n" );
document.write( "3x^2-15x-42=0<BR>\n" );
document.write( "3(x^2-5x-14)=0<BR>\n" );
document.write( "3(x-7)(x+2)=0<BR>\n" );
document.write( "x-7=0<BR>\n" );
document.write( "x=7 ans.<BR>\n" );
document.write( "x+2=0<BR>\n" );
document.write( "x=-2 ans.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "7^2+9^2+11^2=9(7+9+11)+8<BR>\n" );
document.write( "49+81+121=9*27+8<BR>\n" );
document.write( "251=243+8<BR>\n" );
document.write( "251=251<BR>\n" );
document.write( "-2^2+0^2+2^2=9(-2+0+2)+8<BR>\n" );
document.write( "4+0+4=9*0+8<BR>\n" );
document.write( "8=8 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );