document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255744>Question 255744</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the squares of two positive consecutive integers is 41. Find integers. Show steps please^^ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #188002 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=188002\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x & x+1 are the 2 consecutive numbers.<BR>\n" );
document.write( "x^2+(x+1)=41<BR>\n" );
document.write( "x^2+x^2+2x+1=41<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-20)=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.<BR>\n" );
document.write( "4+1=5 ans.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "4^2+5^2=41<BR>\n" );
document.write( "16+25=41<BR>\n" );
document.write( "41=41 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );