document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=36831>Question 36831</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the difference of the squares of two consecutive integers is 21. 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 #22633 by </B><A HREF=/tutors/aboutme.mpl?userid=vidhyak><B>vidhyak(98)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vidhyak><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=22633\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the difference of the squares of two consecutive integers is 21. find the integers.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let the 2 integers be x and x+1\r<BR>\n" );
document.write( "\n" );
document.write( "(x+1)^2 -  x^2 = 21<BR>\n" );
document.write( "x^2 +2x +1 - x^2 = 21<BR>\n" );
document.write( "2x + 1 = 21<BR>\n" );
document.write( "2x = 20<BR>\n" );
document.write( "x = 10\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Therefore x+1 = 11<BR>\n" );
document.write( "The 2 integers are 10,11 \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );