document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1062166>Question 1062166</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find three consecutive positive odd integers such that the sum of the squares of the first and second integers is equal to the square of the third integer plus 9. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #676987 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=676987\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find three consecutive positive odd integers such that the sum of the squares of the first and second integers is equal to the square of the third integer plus 9.<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "(n-2)^2 + n^2 = (n+2)^2 + 9<BR>\n" );
document.write( "2n^2 - 4n + 4 = n^2 + 4n + 13<BR>\n" );
document.write( "n^2 - 8n - 9 = 0<BR>\n" );
document.write( "(n+1)*(n-9) = 0<BR>\n" );
document.write( "n = 9<BR>\n" );
document.write( "=========<BR>\n" );
document.write( "--> 7, 9, & 11<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );