document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=884403>Question 884403</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the length of the rectangular garden is one more than twice its width. Its area is 80m^2. Express the length and width of the rectangular garden in terms of x. write the quadratic equation. find the lenght of the diagonal path across the garden.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #534379 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=534379\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x may be any one of three different quantities.  I will use w for width and L for length.  No use of x.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The first sentence becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=1%2B2w ALIGN=MIDDLE  ALT=\"L=1%2B2w\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=wL=w%282w%2B1%29=80 ALIGN=MIDDLE  ALT=\"wL=w%282w%2B1%29=80\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w%5E2%2Bw=80 ALIGN=MIDDLE  ALT=\"2w%5E2%2Bw=80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w%5E2%2B2w-80=0 ALIGN=MIDDLE  ALT=\"2w%5E2%2B2w-80=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "Discriminant, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E2-4%2A2%2A%28-80%29=4%2B8%2A80=644 ALIGN=MIDDLE  ALT=\"2%5E2-4%2A2%2A%28-80%29=4%2B8%2A80=644\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28644%29=sqrt%284%2A161%29=sqrt%284%2A7%2A23%29=2sqrt%28161%29 ALIGN=MIDDLE  ALT=\"sqrt%28644%29=sqrt%284%2A161%29=sqrt%284%2A7%2A23%29=2sqrt%28161%29\"   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=%28-2%2B-+2sqrt%28161%29%29%2F4 ALIGN=MIDDLE  ALT=\"w=%28-2%2B-+2sqrt%28161%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You must use the plus square root in this case.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=%28-2%2B2sqrt%28161%29%29%2F4 ALIGN=MIDDLE  ALT=\"w=%28-2%2B2sqrt%28161%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28w=%28-1%2Bsqrt%28161%29%29%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28w=%28-1%2Bsqrt%28161%29%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Use solution for w to find solution for L.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=1%2B2w ALIGN=MIDDLE  ALT=\"L=1%2B2w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=1%2B2%28-1%2Bsqrt%28161%29%29%2F2 ALIGN=MIDDLE  ALT=\"L=1%2B2%28-1%2Bsqrt%28161%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=1%2B%28-1%2Bsqrt%28161%29%29 ALIGN=MIDDLE  ALT=\"L=1%2B%28-1%2Bsqrt%28161%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28L=sqrt%28161%29%29 ALIGN=MIDDLE  ALT=\"highlight%28L=sqrt%28161%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You can go further and and use Pythagorean Theorem to get the diagonal:<BR>\n" );
document.write( "Let r = the diagonal,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2=L%5E2%2Bw%5E2 ALIGN=MIDDLE  ALT=\"r%5E2=L%5E2%2Bw%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2=161%2B%28%28-1%2Bsqrt%28161%29%29%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"r%5E2=161%2B%28%28-1%2Bsqrt%28161%29%29%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2=161%2B%28%28sqrt%28161%29-1%29%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"r%5E2=161%2B%28%28sqrt%28161%29-1%29%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2=161%2B%28sqrt%28161%29-1%29%5E2%2F4 ALIGN=MIDDLE  ALT=\"r%5E2=161%2B%28sqrt%28161%29-1%29%5E2%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2=%28644%2B%28sqrt%28161%29-1%29%5E2%29%2F4 ALIGN=MIDDLE  ALT=\"r%5E2=%28644%2B%28sqrt%28161%29-1%29%5E2%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28644%2B161-2sqrt%28161%29%2B1%29%2F4 ALIGN=MIDDLE  ALT=\"%28644%2B161-2sqrt%28161%29%2B1%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28644%2B162-2sqrt%28161%29%29%2F4 ALIGN=MIDDLE  ALT=\"%28644%2B162-2sqrt%28161%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28806-2sqrt%28161%29%29%2F4 ALIGN=MIDDLE  ALT=\"%28806-2sqrt%28161%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2=%28806-2sqrt%28161%29%29%2F4 ALIGN=MIDDLE  ALT=\"r%5E2=%28806-2sqrt%28161%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=sqrt%28%28806-2sqrt%28161%29%29%2F4%29 ALIGN=MIDDLE  ALT=\"r=sqrt%28%28806-2sqrt%28161%29%29%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28r=sqrt%28806-2sqrt%28161%29%29%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28r=sqrt%28806-2sqrt%28161%29%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the diagonal across the garden. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );