document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=632187>Question 632187</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of two consecutive even integers is 18 less than 9 times their sum. Find the two integers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #398128 by </B><A HREF=/tutors/aboutme.mpl?userid=dfrazzetto><B>dfrazzetto(283)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dfrazzetto><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=dfrazzetto><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=398128\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "2n, 2n+2\r<BR>\n" );
document.write( "\n" );
document.write( "(2n)(2n+2) = 9(2n+2n+2) - 18\r<BR>\n" );
document.write( "\n" );
document.write( "4n^2 + 4n = 9(4n + 2) - 18\r<BR>\n" );
document.write( "\n" );
document.write( "4n^2 + 4n = 36n + 18 - 18\r<BR>\n" );
document.write( "\n" );
document.write( "4n^2 + 4n - 36n = 0\r<BR>\n" );
document.write( "\n" );
document.write( "4n^2 - 32n = 0\r<BR>\n" );
document.write( "\n" );
document.write( "4n(n - 8) = 0\r<BR>\n" );
document.write( "\n" );
document.write( "n = 0, 8\r<BR>\n" );
document.write( "\n" );
document.write( "two sets of consecutive even integers:\r<BR>\n" );
document.write( "\n" );
document.write( "{0,2}\r<BR>\n" );
document.write( "\n" );
document.write( "{16,18}\r<BR>\n" );
document.write( "\n" );
document.write( "check:\r<BR>\n" );
document.write( "\n" );
document.write( "16*18 = 9(16+18) - 18\r<BR>\n" );
document.write( "\n" );
document.write( "288 = 9(34) - 18\r<BR>\n" );
document.write( "\n" );
document.write( "288 = 306 - 18 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );