document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1010066>Question 1010066</A>: <I><SPAN STYLE=\"word-break: break-all;\"> From each corner of a square piece of sheet metal, remove a square of side 9 centimeters. Turn up the edges to form an open box. If the box is to hold 144 cubic centimeters, what should be the dimensions of the piece of sheet metal? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #625547 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=625547\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Unknown side length of the square, x.<BR>\n" );
document.write( "Known height created by the \"edges\" or flaps to be folded, h.<BR>\n" );
document.write( "The volume of the resulting box is known, v.\r<BR>\n" );
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document.write( "The assigning of variables, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=unknown%2Ch=9%2Cv=144%29 ALIGN=MIDDLE  ALT=\"system%28x=unknown%2Ch=9%2Cv=144%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Multiply the three dimensions of the resulting box gives the specified volume.<BR>\n" );
document.write( "This equation comes from the description:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28h%28x-2h%29%28x-2h%29=v%29 ALIGN=MIDDLE  ALT=\"highlight_green%28h%28x-2h%29%28x-2h%29=v%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "NOTE: UNKNOWN MISTAKE IN THE GENERALIZED SYMBOLIC SOLUTION;  SEE THE MORE SPECIFIC STEPS BELOW.<BR>\n" );
document.write( "Solve for the unknown variable,x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%5E2-4hx%2B4h%5E2%29-v=0 ALIGN=MIDDLE  ALT=\"h%28x%5E2-4hx%2B4h%5E2%29-v=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=hx%5E2-4hx%2B4h%5E3-v=0 ALIGN=MIDDLE  ALT=\"hx%5E2-4hx%2B4h%5E3-v=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Depending on comfort and how long you want to continue all in symbols, substitute the given values any time.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%284h%2B-+sqrt%28%28-4h%29%5E2-4%2Ah%284h%5E3-v%29%29%29%2F%282h%29 ALIGN=MIDDLE  ALT=\"x=%284h%2B-+sqrt%28%28-4h%29%5E2-4%2Ah%284h%5E3-v%29%29%29%2F%282h%29\"   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=x=%284h%2B-+2sqrt%284h%5E2-h%5E4%2Bhv%29%29%2F%282h%29 ALIGN=MIDDLE  ALT=\"x=%284h%2B-+2sqrt%284h%5E2-h%5E4%2Bhv%29%29%2F%282h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Certainly, substitute the given values now at the latest, and evaluate x.<BR>\n" );
document.write( "Finding imaginary component to the solution, so must be a mistake (maybe on my part).\r<BR>\n" );
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document.write( "*MORE SPECIFIC, DIRECTLY USING THE GIVEN VALUES WITHOUT GENERALIZATIONS:<BR>\n" );
document.write( "Trying again without generalizing:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%28x-2%2A9%29%28x-2%2A9%29-144=0 ALIGN=MIDDLE  ALT=\"9%28x-2%2A9%29%28x-2%2A9%29-144=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-18%29%5E2-16=0 ALIGN=MIDDLE  ALT=\"%28x-18%29%5E2-16=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-18%29%5E2=16 ALIGN=MIDDLE  ALT=\"%28x-18%29%5E2=16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-18=0%2B-+4 ALIGN=MIDDLE  ALT=\"x-18=0%2B-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=18%2B-+4 ALIGN=MIDDLE  ALT=\"x=18%2B-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtracting 4 will not work for anything realistic.  Use the PLUS form.<BR>\n" );
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