document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=479463>Question 479463</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A small square of side length x cm is cut from each corner of a square cardboard of side length 10 cm, then the area of the remaining piece of cardboard is?\r<BR>\n" );
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document.write( "Ans: (10-2x)(10-2x) which will give me (10-2x)^2<BR>\n" );
document.write( "And the greatest volume?  10-2x* 10-2x * x \r<BR>\n" );
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document.write( "And then I expand but I don't know what to do next </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #328517 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=328517\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> to continue<BR>\n" );
document.write( "(10-2x)^2*x<BR>\n" );
document.write( "(100-40x+4x^2)*x= Volume\r<BR>\n" );
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document.write( "100x-40x^2+4x^3= Vol\r<BR>\n" );
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document.write( "dv = 100-80x+12x^2\r<BR>\n" );
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document.write( "You get maximum volume when dv =0\r<BR>\n" );
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document.write( "12x^2-80x+100=0<BR>\n" );
document.write( "Find the roots of the equation by quadratic formula								<BR>\n" );
document.write( "								<BR>\n" );
document.write( "a=	12	,b=	-80	,c=	100						<BR>\n" );
document.write( "b^2-4ac=	6400	-	-4800					<BR>\n" );
document.write( "b^2-4ac=	1600			<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%091600%09%29 ALIGN=MIDDLE  ALT=\"sqrt%28%091600%09%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=	40	<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=(	80	+	40	)/	24			<BR>\n" );
document.write( "x1=	5							<BR>\n" );
document.write( "x2=(	80	-40	) /	24				<BR>\n" );
document.write( "x2= 	1.67							<BR>\n" );
document.write( "cut off square = 1.67   x 1.67 </SPAN>\n" );
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