document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=167152>Question 167152</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A flat panel monitor are such that its length is 3 in. more than its width. If length were doubled and if the width were decreased by 1 in., the area would be increased by 150 in.2(squared). What are the length and width of flat panel monitor? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123123 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=123123\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A flat panel monitor are such that its length is 3 in. more than its width. If length were doubled and if the width were decreased by 1 in., the area would be increased by 150 in.2(squared). What are the length and width of flat panel monitor?<BR>\n" );
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document.write( "Let w = width of monitor<BR>\n" );
document.write( "then<BR>\n" );
document.write( "w+3 = length of monitor<BR>\n" );
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document.write( "double length = 2(w+3)<BR>\n" );
document.write( "width decreased by 1 = w-1<BR>\n" );
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document.write( "2(w+3)(w-1) =150<BR>\n" );
document.write( "2(w^2-w+3w-3) =150<BR>\n" );
document.write( "2(w^2+2w-3) =150<BR>\n" );
document.write( "w^2+2w-3 =75<BR>\n" );
document.write( "w^2+2w-78 = 0<BR>\n" );
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document.write( "Using the quadratic equation to solve, we find the roots as:<BR>\n" );
document.write( "w = {7.888, -9.888}<BR>\n" );
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document.write( "We can toss out the negative solution since it doesn't make sense.<BR>\n" );
document.write( "w = 7.888 inches (width)<BR>\n" );
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document.write( "length:<BR>\n" );
document.write( "w+3 = 7.888+3 = 10.888 inches (length)<BR>\n" );
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document.write( "Details of quadratic:<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=quadratic.solver>SOLVE quadratic equation with variable</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Quadratic equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=aw%5E2%2Bbw%2Bc=0 ALIGN=MIDDLE  ALT=\"aw%5E2%2Bbw%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > (in our case <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1w%5E2%2B2w%2B-78+=+0 ALIGN=MIDDLE  ALT=\"1w%5E2%2B2w%2B-78+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >) has the following solutons:<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca ALIGN=MIDDLE  ALT=\"w%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  For these solutions to exist, the <U>discriminant</U> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac ALIGN=MIDDLE  ALT=\"b%5E2-4ac\"   DISABLED_style= \"max-width:90%; height:auto;\" > should not be a negative number.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  First, we need to compute the discriminant <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac ALIGN=MIDDLE  ALT=\"b%5E2-4ac\"   DISABLED_style= \"max-width:90%; height:auto;\" >: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac=%282%29%5E2-4%2A1%2A-78=316 ALIGN=MIDDLE  ALT=\"b%5E2-4ac=%282%29%5E2-4%2A1%2A-78=316\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  Discriminant d=316 is greater than zero. That means that there are two solutions: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5B12%5D+=+%28-2%2B-sqrt%28+316+%29%29%2F2%5Ca ALIGN=MIDDLE  ALT=\"+x%5B12%5D+=+%28-2%2B-sqrt%28+316+%29%29%2F2%5Ca\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5B1%5D+=+%28-%282%29%2Bsqrt%28+316+%29%29%2F2%5C1+=+7.88819441731559 ALIGN=MIDDLE  ALT=\"w%5B1%5D+=+%28-%282%29%2Bsqrt%28+316+%29%29%2F2%5C1+=+7.88819441731559\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5B2%5D+=+%28-%282%29-sqrt%28+316+%29%29%2F2%5C1+=+-9.88819441731559 ALIGN=MIDDLE  ALT=\"w%5B2%5D+=+%28-%282%29-sqrt%28+316+%29%29%2F2%5C1+=+-9.88819441731559\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    <BR>\n" );
document.write( "    Quadratic expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1w%5E2%2B2w%2B-78 ALIGN=MIDDLE  ALT=\"1w%5E2%2B2w%2B-78\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be factored:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1w%5E2%2B2w%2B-78+=+1%28w-7.88819441731559%29%2A%28w--9.88819441731559%29 ALIGN=MIDDLE  ALT=\"1w%5E2%2B2w%2B-78+=+1%28w-7.88819441731559%29%2A%28w--9.88819441731559%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  Again, the answer is: 7.88819441731559, -9.88819441731559.\n" );
document.write( "Here's your graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B2%2Ax%2B-78+%29 ALIGN=MIDDLE  ALT=\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B2%2Ax%2B-78+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ></TD></TR>\n" );
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document.write( " </SPAN>\n" );
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