document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84424>Question 84424</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find two consecutive positive integers such that the sum of their square is 85. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #60818 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley75><B>checkley75(3666)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley75><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=60818\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X^2+(X+1)^2=85<BR>\n" );
document.write( "X^2+X^2+2X+1-85=0<BR>\n" );
document.write( "2X^2+2X-84=0<BR>\n" );
document.write( "2(X^2+X-42)=0<BR>\n" );
document.write( "(X-6)(X+7)=0<BR>\n" );
document.write( "X-6=0<BR>\n" );
document.write( "X=6 ANSWER. & Y=7<BR>\n" );
document.write( "X+7=0<BR>\n" );
document.write( "X=-7 ANSWER. & Y=-7<BR>\n" );
document.write( "PROOF<BR>\n" );
document.write( "6^2+7^2=85<BR>\n" );
document.write( "36+49=85<BR>\n" );
document.write( "85=85 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );