document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120049>Question 1120049</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the square of  three consecutive odd integers is 371. Find the odd integers\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #735703 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=735703\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2+%2B+%28n%2B2%29%5E2+%2B+%28n%2B4%29%5E2+=+371+ ALIGN=MIDDLE  ALT=\"n%5E2+%2B+%28n%2B2%29%5E2+%2B+%28n%2B4%29%5E2+=+371+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%5E2+%2B+%28n%5E2%2B4n%2B4%29+%2B+%28n%5E2%2B8n%2B16%29+=+371+ ALIGN=MIDDLE  ALT=\"+n%5E2+%2B+%28n%5E2%2B4n%2B4%29+%2B+%28n%5E2%2B8n%2B16%29+=+371+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3n%5E2+%2B+12n+-+351+=+0+ ALIGN=MIDDLE  ALT=\"+3n%5E2+%2B+12n+-+351+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%5E2+%2B+4n+-+117+=+0+ ALIGN=MIDDLE  ALT=\"+n%5E2+%2B+4n+-+117+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28n%2B13%29%28n-9%29+=+0+ ALIGN=MIDDLE  ALT=\"+%28n%2B13%29%28n-9%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "n=9 and or n=-13\r<BR>\n" );
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document.write( "n=9:  integers are 9,11,13   \r<BR>\n" );
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document.write( "Check: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9%5E2+%2B+11%5E2+%2B+13%5E2+=+81%2B121%2B169+=+371+ ALIGN=MIDDLE  ALT=\"+9%5E2+%2B+11%5E2+%2B+13%5E2+=+81%2B121%2B169+=+371+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight+%28+matrix%281%2C5%2C+%229%2C++%22%2C%2211%2C+%22%2C+%22and+%22%2C+%2213%22%2C+%22+%22%29+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight+%28+matrix%281%2C5%2C+%22-13%2C++%22%2C%22-11%2C+%22%2C+%22and+%22%2C+%22-9%22%2C+%22+%22%29+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "覧覧覧覧覧覧覧覧予r<BR>\n" );
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document.write( "Tutor MathTherapy showed this method, which is a bit quicker, and perhaps less error-prone :\r<BR>\n" );
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document.write( "Let n = the middle integer<BR>\n" );
document.write( "n-2 = smaller<BR>\n" );
document.write( "n+2 = larger\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28n-2%29%5E2+%2B+%28n%5E2%29+%2B+%28n%2B2%29%5E2+=+371+ ALIGN=MIDDLE  ALT=\"+%28n-2%29%5E2+%2B+%28n%5E2%29+%2B+%28n%2B2%29%5E2+=+371+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++%28n%5E2-4n%2B4%29+%2B+n%5E2+%2B+%28n%5E2%2B4n%2B4%29+=+371+ ALIGN=MIDDLE  ALT=\"++%28n%5E2-4n%2B4%29+%2B+n%5E2+%2B+%28n%5E2%2B4n%2B4%29+=+371+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++3n%5E2+-+363+=+0+ ALIGN=MIDDLE  ALT=\"++3n%5E2+-+363+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++n%5E2+-+121+=+0+ ALIGN=MIDDLE  ALT=\"++n%5E2+-+121+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28n-11%29%28n%2B11%29+=+0+ ALIGN=MIDDLE  ALT=\"+%28n-11%29%28n%2B11%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "n = 11  and/or n=-11    which gives the same solutions (9,11,13)     and  (-13,-11,-9). \r<BR>\n" );
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document.write( "覧覧覧覧\r<BR>\n" );
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document.write( "Very good method tutor Alan3354!   Thanks.   <BR>\n" );
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