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 #66441 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=66441\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Area of a rectangle=Length times Width or A=L*W\r<BR>\n" );
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document.write( "Let W=width of the rectangle\r<BR>\n" );
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document.write( "Then Length (L)=3W-1\r<BR>\n" );
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document.write( "And Area= 24 yd^2 =W*(3W-1)=3W^2-W  So our equation to solve is:\r<BR>\n" );
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document.write( "3W^2-W=24  subtract 24 from both sides\r<BR>\n" );
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document.write( "3W^2-W-24=24-24 simplifying, we get:\r<BR>\n" );
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document.write( "3W^2-W-24=0  quadratic in standard form.  We'll solve using the quadratic formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"W+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   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=W=+%28%2B1+%2B-+sqrt%28+1%5E2%2B4%2A3%2A24+%29%29%2F%282%2A3%29+ ALIGN=MIDDLE  ALT=\"W=+%28%2B1+%2B-+sqrt%28+1%5E2%2B4%2A3%2A24+%29%29%2F%282%2A3%29+\"   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=W+=+%28%2B1+%2B-+sqrt%28+289+%29%29%2F%286%29+ ALIGN=MIDDLE  ALT=\"W+=+%28%2B1+%2B-+sqrt%28+289+%29%29%2F%286%29+\"   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=W=+%28%28%2B1+%2B-+17+%29%2F%286%29%29+ ALIGN=MIDDLE  ALT=\"W=+%28%28%2B1+%2B-+17+%29%2F%286%29%29+\"   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=W=+%28%28%2B1+%2B17+%29%2F%286%29%29+ ALIGN=MIDDLE  ALT=\"W=+%28%28%2B1+%2B17+%29%2F%286%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=+%28%28%2B1+-+17+%29%2F%286%29%29+ ALIGN=MIDDLE  ALT=\"W=+%28%28%2B1+-+17+%29%2F%286%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  discount negative value for W\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=+%28%2818+%29%2F%286%29%29+ ALIGN=MIDDLE  ALT=\"W=+%28%2818+%29%2F%286%29%29+\"   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=W=3 ALIGN=MIDDLE  ALT=\"W=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > yds--------------------------------width<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=3W-1=3%2A3-1=8 ALIGN=MIDDLE  ALT=\"L=3W-1=3%2A3-1=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > yds ---------------------------length\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "A=24=3*8<BR>\n" );
document.write( "24=24\r<BR>\n" );
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document.write( "Hope this helps---ptaylor\r<BR>\n" );
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