document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=734220>Question 734220</A>: <I><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "Find all pairs of consecutive integers such that the product of the two integers is 3 less than 3 times the sum. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #448787 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley79><B>checkley79(3341)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley79><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=448787\">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)=3(X+X+1)-3<BR>\n" );
document.write( "X^2+X=3(2X+1)-3<BR>\n" );
document.write( "X^2+X=6X+3-3<BR>\n" );
document.write( "X^2+X-6X=0<BR>\n" );
document.write( "X^2-5X=0<BR>\n" );
document.write( "X(X-5)=0<BR>\n" );
document.write( "X=0 ANS.<BR>\n" );
document.write( "X-5=0<BR>\n" );
document.write( "X=5 ANS.<BR>\n" );
document.write( "PROOF:<BR>\n" );
document.write( "5(5+1)=3(5+5+1)-3<BR>\n" );
document.write( "5*6=3*11-3<BR>\n" );
document.write( "30=33-3<BR>\n" );
document.write( "30=30 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );