document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=312531>Question 312531</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the squares of two consecutive positive numbers is 41. 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 #223460 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=223460\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> LET X & X+1 BE THE 2 NUMBERS.<BR>\n" );
document.write( "41=X^2+(X+1)^2<BR>\n" );
document.write( "41=X^2+X^2+2X+1<BR>\n" );
document.write( "2X^2+2X+1-41=0<BR>\n" );
document.write( "2X^2+2X-40=0<BR>\n" );
document.write( "2(X^2+X+420)=0<BR>\n" );
document.write( "2(X+5)(X-4)=0<BR>\n" );
document.write( "X-4=0<BR>\n" );
document.write( "X=4 ANS FOR THE SMALLER NUMBER.<BR>\n" );
document.write( "PROOF:<BR>\n" );
document.write( "41=4^2+(4+1)^2<BR>\n" );
document.write( "41=16+5^2<BR>\n" );
document.write( "41=16+25<BR>\n" );
document.write( "41=41<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );