document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=338144>Question 338144</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 #242390 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=242390\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x & x+1 be the 2 integers.<BR>\n" );
document.write( "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)=0<BR>\n" );
document.write( "x-7=0<BR>\n" );
document.write( "x=7 ans. for the smaller integer.<BR>\n" );
document.write( "7=1=8 ans. for the larger integer.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "7*8=7+8+41<BR>\n" );
document.write( "56=56<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );