document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1118631>Question 1118631</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Split 1406 into two groups so that the number in one group is the square of the number in the other  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #734003 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=734003\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Call one group 'a',  then  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5E2+%2B+a+=+1406+ ALIGN=MIDDLE  ALT=\"+a%5E2+%2B+a+=+1406+\"   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=+a%5E2+%2B+a+-+1406+=+0+ ALIGN=MIDDLE  ALT=\"+a%5E2+%2B+a+-+1406+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1406 = 38*37:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28a+%2B+38%29%28a+-+37%29+=+0+ ALIGN=MIDDLE  ALT=\"+%28a+%2B+38%29%28a+-+37%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "a = -38  and/or a = 37    (we discard -38 if we assume you are seeking 'partitions' of 1406)\r<BR>\n" );
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document.write( "a=37:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5E2+=+1369+ ALIGN=MIDDLE  ALT=\"+a%5E2+=+1369+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the sum is  1369 + 37 = 1406,   <BR>\n" );
document.write( "so the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight+%28+37+%29+ ALIGN=MIDDLE  ALT=\"+highlight+%28+37+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%281369%29+ ALIGN=MIDDLE  ALT=\"+highlight%281369%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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