document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=478021>Question 478021</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find three consecutive positive integers such that the sum of the squares of the first and second equals the square of the third. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #327545 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=327545\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find three consecutive positive integers such that the sum of the squares of the first and second equals the square of the third.<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^2 = (x+1)^2<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x^2-2x+1 + x^2 = x^2+2x+1<BR>\n" );
document.write( "x^2 -4x = 0<BR>\n" );
document.write( "x(x-4) = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "Let x = 4<BR>\n" );
document.write( "1st: x-1 = 3<BR>\n" );
document.write( "2nd: x = 4<BR>\n" );
document.write( "3rd: x+1 = 5<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" );