document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=890221>Question 890221</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular garden has an area of 10 square feet. Four less than the width is equal to 23 less than twice the length. \r<BR>\n" );
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document.write( "a) Define variables <BR>\n" );
document.write( "b) Write an equation, in standard form, that models the situation. <BR>\n" );
document.write( "c) Solve your quadratic equation to find the length and the width.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #538839 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=538839\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> w for width and L for length:<BR>\n" );
document.write( "-4+w=-23+2L from the second sentence description.  <BR>\n" );
document.write( "That gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w-2L=4-23 ALIGN=MIDDLE  ALT=\"w-2L=4-23\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w-2L=-19 ALIGN=MIDDLE  ALT=\"w-2L=-19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2L-w=19 ALIGN=MIDDLE  ALT=\"2L-w=19\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Area description means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=wL=10 ALIGN=MIDDLE  ALT=\"wL=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Choose either w or L and substitute for it in the area equation.  Maybe w is most convenient to use.  w=2L-19.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%282L-19%29L=10%29 ALIGN=MIDDLE  ALT=\"highlight%28%282L-19%29L=10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, when substituted.\r<BR>\n" );
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document.write( "Standard form for the equation is not really the best way to go.  Just try simplifying, and if possible, factoring.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282L%5E2-19L-10=0%29 ALIGN=MIDDLE  ALT=\"highlight%282L%5E2-19L-10=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, general form.<BR>\n" );
document.write( "Discriminant?  19^2-4*2(-10)=19^2+80=441=21^2.<BR>\n" );
document.write( "Directly using general solution of a quadratic equation and the values from the equation,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=%2819%2B-+21%29%2F4 ALIGN=MIDDLE  ALT=\"L=%2819%2B-+21%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >  MUST be only <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28L=%2819%2B21%29%2F4=10%29 ALIGN=MIDDLE  ALT=\"highlight%28L=%2819%2B21%29%2F4=10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Use this in formula for w to find w. </SPAN>\n" );
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