document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=718533>Question 718533</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A square is transformed into a rectangle by decreasing the length of two of its parallel sides by 6 centimeters, and by decreasing the length of its other two parallel sides by 5 centimeters. If the area of the rectangle is 6 square centimeters, find the set of all possible lengths of the sides of the original square. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #440929 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=440929\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Original length of each side, x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%29%28x-6%29=6 ALIGN=MIDDLE  ALT=\"%28x-5%29%28x-6%29=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, only shows the area of the rectangle after shortening side lengths of the original x by x square.\r<BR>\n" );
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document.write( "x^2-11x+30=6<BR>\n" );
document.write( "x^2-11x+24=0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%28x-8%29=0 ALIGN=MIDDLE  ALT=\"%28x-3%29%28x-8%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "x would make no sense if it were 3.  Only <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=8%29 ALIGN=MIDDLE  ALT=\"highlight%28x=8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > makes any sense.<BR>\n" );
document.write( "Check:  (8-6)(8-5)=2*3=6 </SPAN>\n" );
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