document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=897711>Question 897711</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find two consecutive numbers such that the difference of their square is 65 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #544305 by </B><A HREF=/tutors/aboutme.mpl?userid=dkppathak><B>dkppathak(439)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dkppathak><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=dkppathak><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=544305\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "find two consecutive numbers such that the difference of their square is 65<BR>\n" );
document.write( "Solution <BR>\n" );
document.write( "Let number are X and X+1<BR>\n" );
document.write( "as per given conditions <BR>\n" );
document.write( "(X+1)^2-X^2=65<BR>\n" );
document.write( "X^2+1+2X-X^2=65<BR>\n" );
document.write( "2x+1=65<BR>\n" );
document.write( "2x=65-1<BR>\n" );
document.write( "2x=64<BR>\n" );
document.write( "x=64/2<BR>\n" );
document.write( "x=32<BR>\n" );
document.write( " consecutive numbers are 32, 33  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );