document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=979333>Question 979333</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two consecutive positive integers such that the square of the second integer added to 5 times the first is equal to 121<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #600608 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=600608\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> first integer is x<BR>\n" );
document.write( "second is (x+1)<BR>\n" );
document.write( "5x+(x+1)^2=121<BR>\n" );
document.write( "5x+x^2+2x+1=121<BR>\n" );
document.write( "5x+x^2+2x=120<BR>\n" );
document.write( "x^2+7x-120=0<BR>\n" );
document.write( "(x+15)(x-8)=0\r<BR>\n" );
document.write( "\n" );
document.write( "x=-15, +8\r<BR>\n" );
document.write( "\n" );
document.write( "Want only positive integers<BR>\n" );
document.write( "8 and 9\r<BR>\n" );
document.write( "\n" );
document.write( "square of second is 81<BR>\n" );
document.write( "5 times the first is 40<BR>\n" );
document.write( "They add to 121<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );