document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=101498>Question 101498</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the squares of two consecutive integers is 41. What is the larger integer? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73895 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=73895\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the integers be x and x+1<BR>\n" );
document.write( "x^2 + (x+1)^2=41<BR>\n" );
document.write( "x^2+x^2+2x+1=41<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 Factor<BR>\n" );
document.write( "x=4 , x=-5<BR>\n" );
document.write( "the problem has two answers.<BR>\n" );
document.write( "-5, -4<BR>\n" );
document.write( "and 5, 4<BR>\n" );
document.write( "4 and -5 the smaller integers. <BR>\n" );
document.write( "x+1= 5 and -4 are the larger integers. ANSWER<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );