document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=91488>Question 91488</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solving a word promblem using a quadratic equation with rational roots\r<BR>\n" );
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document.write( "The length of a rectangle is 1 yd less than three times ite width and the area of the rectangle is 24yd^2. Find the diminsions. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #66442 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=66442\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let W = the width of the rectangle and L = the length.<BR>\n" );
document.write( "The problem description tells you that the length, L, is (=) 1 yd less than three times its width (L = 3W-1).<BR>\n" );
document.write( "You also know that the area, A = 24 sq.yds.<BR>\n" );
document.write( "Starting with the formula for the area of a rectangle: A = L*W<BR>\n" );
document.write( "Making the appropriate substitutions into the formula, you get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283W-1%29%28w%29+=+24 ALIGN=MIDDLE  ALT=\"%283W-1%29%28w%29+=+24\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplifying this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3W%5E2-W+=+24 ALIGN=MIDDLE  ALT=\"3W%5E2-W+=+24\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 24 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3W%5E2-W-24+=+0 ALIGN=MIDDLE  ALT=\"3W%5E2-W-24+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > You can solve this quadratic equation by factoring.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283w%2B8%29%28W-3%29+=+0 ALIGN=MIDDLE  ALT=\"%283w%2B8%29%28W-3%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero products principle:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3W%2B8+=+0 ALIGN=MIDDLE  ALT=\"3W%2B8+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W-3+=+0 ALIGN=MIDDLE  ALT=\"W-3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3W%2B8+=+0 ALIGN=MIDDLE  ALT=\"3W%2B8+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 8 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3W+=+-8 ALIGN=MIDDLE  ALT=\"3W+=+-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+-8%2F3 ALIGN=MIDDLE  ALT=\"W+=+-8%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Discard this solution a negative width is not meaningful.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W-3+=+0 ALIGN=MIDDLE  ALT=\"W-3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 3 to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+3 ALIGN=MIDDLE  ALT=\"W+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > The width is 3 yards.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+3W-1 ALIGN=MIDDLE  ALT=\"L+=+3W-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+3%283%29-1 ALIGN=MIDDLE  ALT=\"L+=+3%283%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+9-1 ALIGN=MIDDLE  ALT=\"L+=+9-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+8 ALIGN=MIDDLE  ALT=\"L+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > The length is 8 yards.\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+L%2AW ALIGN=MIDDLE  ALT=\"A+=+L%2AW\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+8%283%29 ALIGN=MIDDLE  ALT=\"A+=+8%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+24 ALIGN=MIDDLE  ALT=\"A+=+24\"   DISABLED_style= \"max-width:90%; height:auto;\" >sq.yds. </SPAN>\n" );
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