document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=859652>Question 859652</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A water tank that has the form of a rectangular prism, in which the quadruple of the width exceeds the length by 8m and its height is the width divided by 4 plus 1m. If the volume of the tank is equal to 64000 liters, find the tank's dimensions. \r<BR>\n" );
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document.write( "This is what I have done so far, but I've had no luck afterwards \r<BR>\n" );
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document.write( "w = x <BR>\n" );
document.write( "l = 4x - 8<BR>\n" );
document.write( "h = x/4 + 1 \r<BR>\n" );
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document.write( "Then I multiplied it since volume is L x W x H, nonetheless I had this big polynomial which I didn't know how to work with.\r<BR>\n" );
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document.write( "x^3 - 6x^2 - 8x = 64000 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #517872 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</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=517872\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x for length<BR>\n" );
document.write( "w for width<BR>\n" );
document.write( "h for height<BR>\n" );
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document.write( "Description of the numbers exactly into symbols:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4w-x=8 ALIGN=MIDDLE  ALT=\"4w-x=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >, units of meters<BR>\n" );
document.write( "4w-8-x=0<BR>\n" );
document.write( "-x=8-4w<BR>\n" );
document.write( "x=4w-8, this will be used for substitution\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=w%2F4%2B1 ALIGN=MIDDLE  ALT=\"h=w%2F4%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, units of meters<BR>\n" );
document.write( "Usable as it is, to be used for substitution\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28xwh%2Ak=64000%29 ALIGN=MIDDLE  ALT=\"highlight_green%28xwh%2Ak=64000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > LITERS;<BR>\n" );
document.write( "The reason for a factor, k, is that we should be certain to convert our <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5E3 ALIGN=MIDDLE  ALT=\"m%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > into liters; some people will know the factor just by looking, some people will not.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28xwh%28m%2Am%2Am%29%28100cm%2Fm%29%28100cm%2Fm%29%28100cm%2Fm%29%28%281%2AL%29%2F%281000%2Acm%5E3%29%29=64000%2AL%29 ALIGN=MIDDLE   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=xwh%2A1000=64000 ALIGN=MIDDLE  ALT=\"xwh%2A1000=64000\"   DISABLED_style= \"max-width:90%; height:auto;\" >, factor k now known<BR>\n" );
document.write( "Make the substitutions,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284w-8%29w%28w%2F4%2B1%29%2A1000=64000 ALIGN=MIDDLE  ALT=\"%284w-8%29w%28w%2F4%2B1%29%2A1000=64000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "DIVIDE both members by 1000, multiply both members by 4;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284w-8%29w%28w%2F4%2B1%29=64 ALIGN=MIDDLE  ALT=\"%284w-8%29w%28w%2F4%2B1%29=64\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284w-8%29w%28w%2B4%29=4%2A64 ALIGN=MIDDLE  ALT=\"%284w-8%29w%28w%2B4%29=4%2A64\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28w-2%29w%28w%2B4%29=4%2A64 ALIGN=MIDDLE  ALT=\"4%28w-2%29w%28w%2B4%29=4%2A64\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but we can now also divide both members by 4;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%28w-2%29%28w%2B4%29=64 ALIGN=MIDDLE  ALT=\"w%28w-2%29%28w%2B4%29=64\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%28w%5E2%2B2w-8%29=64 ALIGN=MIDDLE  ALT=\"w%28w%5E2%2B2w-8%29=64\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%28w%5E3%2B2w%5E2-8w-64=0%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28w%5E3%2B2w%5E2-8w-64=0%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Obviously this equation would still need to be solved for w, and then the x and h can be calculated.  I'm stopping here, just so you can get comfortable with how that equation was obtained, and see that it is somewhat different than the equation you found.  You might try either a graphing calculator or Rational Roots Theorem to get w.   </SPAN>\n" );
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