document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1008541>Question 1008541</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find three consecutive natural numbers if the square of the smallest number is 65 less than the product of the remaining two numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #624171 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=624171\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find three consecutive natural numbers if the square of the smallest number is 65 less than the product of the remaining two numbers. <BR>\n" );
document.write( "--------<BR>\n" );
document.write( "1st:: x-1<BR>\n" );
document.write( "2nd:: x<BR>\n" );
document.write( "3rd:: x+1<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "(x-1)^2 = x(x+1)-65<BR>\n" );
document.write( "------<BR>\n" );
document.write( "x^2 - 2x + 1 = x^2 + x - 65<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "3x = 66<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "x = 22<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x-1 = 21<BR>\n" );
document.write( "x = 22<BR>\n" );
document.write( "x+1 = 23<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------ </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );