document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=948045>Question 948045</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a pan is to be formed by cutting 2cm by 2cm squares from each corner of a square piece of sheet metal and then folding the sides.if the volume of the pan is to be 441cm squared,what are the dimensions of the original piece of metal sheet? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #578617 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=578617\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ASSING VARIABLES<BR>\n" );
document.write( "h=2, the sidelength of square to cut and remove<BR>\n" );
document.write( "x, the dimensions of the initial square piece to form the pan<BR>\n" );
document.write( "v=441, volume of resulting open pan\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2h%29%28x-2h%29h=v ALIGN=MIDDLE  ALT=\"%28x-2h%29%28x-2h%29h=v\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is a quadratic equaion in the unknonw variable, x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4hx%2B4h%5E2=v%2Fh ALIGN=MIDDLE  ALT=\"x%5E2-4hx%2B4h%5E2=v%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4hx%2B4h%5E2-v%2Fh=0 ALIGN=MIDDLE  ALT=\"x%5E2-4hx%2B4h%5E2-v%2Fh=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "Or better, take advantage of the square part of the expressions,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2h%29%5E2=v%2Fh ALIGN=MIDDLE  ALT=\"%28x-2h%29%5E2=v%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2h=0%2B-+sqrt%28v%2Fh%29 ALIGN=MIDDLE  ALT=\"x-2h=0%2B-+sqrt%28v%2Fh%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=2h%2B-+sqrt%28v%2Fh%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=2h%2B-+sqrt%28v%2Fh%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, completely in symbolic form; and understand that one of these<BR>\n" );
document.write( "solutions will be good and the other will be meaningless.\r<BR>\n" );
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document.write( "Substitute the values:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2%2A2%2B-+sqrt%28441%2F2%29 ALIGN=MIDDLE  ALT=\"x=2%2A2%2B-+sqrt%28441%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You want the PLUS square root form.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=4%2B21%2Fsqrt%282%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=4%2B21%2Fsqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You might want to show this as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%288%2B21%2Asqrt%282%29%29%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28%288%2B21%2Asqrt%282%29%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "About 18.849   or 18.9. </SPAN>\n" );
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