document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=313933>Question 313933</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of two positive consecutive integers is 41 more than their sum. 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 #224470 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=224470\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X(X+1)=X+X+1+41<BR>\n" );
document.write( "X^2+X=2X+42<BR>\n" );
document.write( "X^2+X-2X-42=0<BR>\n" );
document.write( "X^2-X-42=0<BR>\n" );
document.write( "(X-7)(X+6)<BR>\n" );
document.write( "X-7=0<BR>\n" );
document.write( "X=7 ANS.<BR>\n" );
document.write( "X+6=0<BR>\n" );
document.write( "X=-6 ANS.<BR>\n" );
document.write( "PROOF:<BR>\n" );
document.write( "7(7+1)=7+8+41<BR>\n" );
document.write( "7*8=15+41<BR>\n" );
document.write( "56=56<BR>\n" );
document.write( "-6(-5)=-6-5+41<BR>\n" );
document.write( "30=-11+41<BR>\n" );
document.write( "30=30 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );