document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=111414>Question 111414</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321319095/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help me with an application using a quadratic equation?\r<BR>\n" );
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document.write( "The question is:  The width of a rectangular parking lot is 51 ft less than its length.  Determine the dimensions of the parking lot if it measures 250 ft diagonally.\r<BR>\n" );
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document.write( "What I've got so far:<BR>\n" );
document.write( "x^2+(x-51)^2=250^2<BR>\n" );
document.write( "x^2+x^2-102x+2601=62500<BR>\n" );
document.write( "2x^2-102x-59899=0<BR>\n" );
document.write( "factor out 2<BR>\n" );
document.write( "x^2-51x-29949.5=0\r<BR>\n" );
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document.write( "I stopped there because I got a decimal number (29949.5) and that seems wrong.\r<BR>\n" );
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document.write( "Please help!\r<BR>\n" );
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document.write( "Thank you in advance!\r<BR>\n" );
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document.write( "Brenda </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #81251 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=81251\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your work so far is good!<BR>\n" );
document.write( "Looking at your quadratic equation:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-102x-59899+=+0 ALIGN=MIDDLE  ALT=\"2x%5E2-102x-59899+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, I don't think that you can factor it so you have to use the quadratic formula to solve:<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%2F2a ALIGN=MIDDLE  ALT=\"x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It looks quite formidable with the numbers you have, but it's easy enough with a good calculator. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-102%29%2B-sqrt%28%28-102%292-4%282%29%28-59899%29%29%29%2F2%282%29 ALIGN=MIDDLE  ALT=\"x+=+%28-%28-102%29%2B-sqrt%28%28-102%292-4%282%29%28-59899%29%29%29%2F2%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you'll get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+200.43 ALIGN=MIDDLE  ALT=\"x+=+200.43\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-149.43 ALIGN=MIDDLE  ALT=\"x+=+-149.43\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take only the positive answer since lengths cannot be negative.<BR>\n" );
document.write( "The length (x) is 200.43 feet.<BR>\n" );
document.write( "The width (x-51) is 149.43 feet. </SPAN>\n" );
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