document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=312111>Question 312111</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the squares of two consecutive positive numbers is 61. <BR>\n" );
document.write( "what is the smaller number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #223154 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=223154\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of the squares of two consecutive positive numbers is 61. <BR>\n" );
document.write( "what is the smaller number?<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Let x = smaller number<BR>\n" );
document.write( "then<BR>\n" );
document.write( "x+1 = larger consecutive number<BR>\n" );
document.write( ".<BR>\n" );
document.write( "x^2 + (x+1)^2 = 61<BR>\n" );
document.write( "x^2 + (x+1)(x+1) = 61<BR>\n" );
document.write( "x^2 + (x^2+2x+1) = 61<BR>\n" );
document.write( "2x^2+2x+1 = 61<BR>\n" );
document.write( "2x^2+2x-60 = 0<BR>\n" );
document.write( "x^2+x-30 = 0<BR>\n" );
document.write( "(x+6)(x-5) = 0<BR>\n" );
document.write( "x = {-6, 5}<BR>\n" );
document.write( "Toss out the negative solution leaving:<BR>\n" );
document.write( "x = 5 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );