document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1872>Question 1872</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two consecutive integers are added. The square of their sum is 361. What are 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 #703 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=703\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the first interger be x and the second be y\r<BR>\n" );
document.write( "\n" );
document.write( "we know 2 things...y-x=1 and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2By%29%5E2+=+361 ALIGN=MIDDLE  ALT=\"%28x%2By%29%5E2+=+361\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "sub the first equation, for y, in the second, to give <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+%281%2Bx%29%29%5E2+=+361 ALIGN=MIDDLE  ALT=\"%28x+%2B+%281%2Bx%29%29%5E2+=+361\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B1%29%5E2+=+361 ALIGN=MIDDLE  ALT=\"%282x%2B1%29%5E2+=+361\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Hence, taking a square root of both sides gives (2x+1) = +19 or -19\r<BR>\n" );
document.write( "\n" );
document.write( "Therefore, 2x = 18 or -20 and then x=9 or -10.\r<BR>\n" );
document.write( "\n" );
document.write( "Therefore the 2 integers are either (9 and 10) or (-9 and -10)\r<BR>\n" );
document.write( "\n" );
document.write( "cheers<BR>\n" );
document.write( "Jon. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );