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 #188003 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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=188003\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of the squares of two positive consecutive integers is 41. Find integers. Show steps please^^\r<BR>\n" );
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document.write( "integer I<BR>\n" );
document.write( "next consecutive integer I+1\r<BR>\n" );
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document.write( "I^2+(I+1)^2=41\r<BR>\n" );
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document.write( "I^2+((I+1)(I+1))=41<BR>\n" );
document.write( "I^2+I^2+2I+1=41<BR>\n" );
document.write( "2I^2+2I+1=41<BR>\n" );
document.write( "2I^2+2I-40=0<BR>\n" );
document.write( "I^2+I-20=0<BR>\n" );
document.write( "(I+5)(I-4)=0<BR>\n" );
document.write( "I=-5 and I=4<BR>\n" );
document.write( "-5 is not positive<BR>\n" );
document.write( "so I is 4\r<BR>\n" );
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document.write( "I+1=5\r<BR>\n" );
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document.write( "integers are 4 and 5 <BR>\n" );
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