document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=782142>Question 782142</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular piece of metal is 10 in longer than it is wide. Squares with sides 2 in Long are cut from the corners, and the flaps are folded upward to form an open box. If the volume of the box is 832 in^3 what were the original dimensions of the piece of metal ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #476301 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=476301\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> width = x<BR>\n" );
document.write( "length = x+10 in\r<BR>\n" );
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document.write( "2 inch is cut from both ends<BR>\n" );
document.write( "so width = x-2<BR>\n" );
document.write( "and <BR>\n" );
document.write( "length = x+10-2=x+8\r<BR>\n" );
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document.write( "The dimensions of the box \r<BR>\n" );
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document.write( "x-2-----width<BR>\n" );
document.write( "x+8  length<BR>\n" );
document.write( "2inch = height\r<BR>\n" );
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document.write( "Volume = L * W *h\r<BR>\n" );
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document.write( "(x-2)(x+8)*2=832\r<BR>\n" );
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document.write( "x^2+6x-16=832/2\r<BR>\n" );
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document.write( "x^2+6x-16=416\r<BR>\n" );
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document.write( "x^2+6x-432=0\r<BR>\n" );
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document.write( "Find the roots of the equation by quadratic formula							<BR>\n" );
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document.write( "a=	1    	b=	6	c=	-432		2916<BR>\n" );
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document.write( "b^2-4ac=	36	-	-1728				<BR>\n" );
document.write( "b^2-4ac=	1764		<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%091764%09%29 ALIGN=MIDDLE  ALT=\"sqrt%28%091764%09%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=	42	<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >							<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >				)/			<BR>\n" );
document.write( "x1=(	-6	+	42	)/	2		<BR>\n" );
document.write( "x1=	18						<BR>\n" );
document.write( "x2=(	-6	-	42	)/	2		<BR>\n" );
document.write( "x2=	-24						<BR>\n" );
document.write( "Ignore negative value							<BR>\n" );
document.write( "x	=	18	\r<BR>\n" );
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document.write( "width = 18 inch\r<BR>\n" );
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document.write( "length = 10+8 =18 inc\r<BR>\n" );
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document.write( "				\r<BR>\n" );
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document.write( " </SPAN>\n" );
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