document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=754917>Question 754917</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of two consecutive even integers plus their sum is 98.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 #459394 by </B><A HREF=/tutors/aboutme.mpl?userid=sachi><B>sachi(548)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sachi><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=sachi><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=459394\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The product of two consecutive even integers plus their sum is 98.Find the numbers.<BR>\n" );
document.write( "let the two consecutive even integers are a,a+2<BR>\n" );
document.write( "atq<BR>\n" );
document.write( "a*(a+2)+a+(a+2)=98<BR>\n" );
document.write( "or a^2+2a+2a=2=98<BR>\n" );
document.write( "or a^2+4a-96=0<BR>\n" );
document.write( "or a^2+12a-8a-96=0<BR>\n" );
document.write( "or a(a+12)-8(a+12)=0<BR>\n" );
document.write( "or (a+12)(a-8)=0<BR>\n" );
document.write( "or a=-12 or 8<BR>\n" );
document.write( "so the pairs of onsecutive even integers are -12 & -10 or 8 & 10<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );