document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=286894>Question 286894</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An aquarium holding African ciclids is 5 inches higher than it is wide.  Its lengh is 27 inches and its volume is 4050 cubic inches.\r<BR>\n" );
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document.write( "What are the height and width of the aquarium?\r<BR>\n" );
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document.write( "Height =     inches<BR>\n" );
document.write( "Width =      inches </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #208042 by </B><A HREF=/tutors/aboutme.mpl?userid=unlockmath><B>unlockmath(1688)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=unlockmath><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=unlockmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=208042\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello, <BR>\n" );
document.write( "Since we know volume = width times length times height let's have \"x\" be the width. Therefore the equation will be:<BR>\n" );
document.write( "x(x+5)27=4050 Expand this out to:<BR>\n" );
document.write( "27x^2+135x=4050 Subtract 4050 from both sides to get:<BR>\n" );
document.write( "27x^2+135x-4050=0 Take 27 out to be:<BR>\n" );
document.write( "27(x^2+5x-150)=0 Factor this to get:<BR>\n" );
document.write( "27(x-10)(x+15)=0 solve x:<BR>\n" );
document.write( "x=10<BR>\n" );
document.write( "x=-15<BR>\n" );
document.write( "x=10 is the only reasonable answer so the answer is:<BR>\n" );
document.write( "10 inches for the width and you can now get how high it is.<BR>\n" );
document.write( "Make sense?<BR>\n" );
document.write( "RJ<BR>\n" );
document.write( "Check out a new book:<BR>\n" );
document.write( "www.math-unlock.com </SPAN>\n" );
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