document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255374>Question 255374</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the squares of two consecutive odd positive integers is 202. Find the integers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187643 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=187643\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = positive odd integer and x + 2 be the next positive odd integer.<BR>\n" );
document.write( "we get<BR>\n" );
document.write( "x^2 + (x+2)^2 = 202<BR>\n" );
document.write( "foiling the left and combining like terms, we get<BR>\n" );
document.write( "2x^2 + 4x + 4 = 202<BR>\n" );
document.write( "and then<BR>\n" );
document.write( "2x^2 + 4x - 198 = 0<BR>\n" );
document.write( "divide by 2 to get<BR>\n" );
document.write( "x^2 + 2x - 99 = 0<BR>\n" );
document.write( "factor to get<BR>\n" );
document.write( "(x+11)(x-9) = 0<BR>\n" );
document.write( "solving for x, we get<BR>\n" );
document.write( "x = -11 and x = 9<BR>\n" );
document.write( "we get (-11,-9) OR (9,11) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );