document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1000273>Question 1000273</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Plz explain the range of this equation...{1÷&#8730;x^2-2x-3=0} </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #617847 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=617847\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Not precise enough.  If you really mean the way it is written, then this is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fsqrt%28x%5E2%29-2x-3=0 ALIGN=MIDDLE  ALT=\"1%2Fsqrt%28x%5E2%29-2x-3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and something can be done with this, but \"range\" is irrelevant.  You have an EQUATION - not a function.\r<BR>\n" );
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document.write( "If you are trying to express <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fsqrt%28x%5E2-2x-3%29=0 ALIGN=MIDDLE  ALT=\"1%2Fsqrt%28x%5E2-2x-3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then this is impossible.\r<BR>\n" );
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document.write( "Back to the first possibility:<BR>\n" );
document.write( "That is the same as  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fabs%28x%29=2x%2B3 ALIGN=MIDDLE  ALT=\"1%2Fabs%28x%29=2x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E0 ALIGN=MIDDLE  ALT=\"x%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The two possibilities here are either <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C0 ALIGN=MIDDLE  ALT=\"x%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  OR  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E0 ALIGN=MIDDLE  ALT=\"x%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The two cases give these two equations...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28-x%29=2x%2B3 ALIGN=MIDDLE  ALT=\"1%2F%28-x%29=2x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=-2x%5E2-3x ALIGN=MIDDLE  ALT=\"1=-2x%5E2-3x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%5E2-3x-1=0 ALIGN=MIDDLE  ALT=\"-2x%5E2-3x-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B3x%2B1=0 ALIGN=MIDDLE  ALT=\"2x%5E2%2B3x%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B1%29%28x%2B1%29=0 ALIGN=MIDDLE  ALT=\"%282x%2B1%29%28x%2B1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-1%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  OR  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-1%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "OR\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx=2x%2B3 ALIGN=MIDDLE  ALT=\"1%2Fx=2x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=2x%5E2%2B3x ALIGN=MIDDLE  ALT=\"1=2x%5E2%2B3x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B3x-1=0 ALIGN=MIDDLE  ALT=\"2x%5E2%2B3x-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which seems like might not be factorable.<BR>\n" );
document.write( "Discriminant is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E2-4%2A2%2A%28-1%29=9%2B8=17 ALIGN=MIDDLE  ALT=\"3%5E2-4%2A2%2A%28-1%29=9%2B8=17\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=%28-3%2B-+sqrt%2817%29%29%2F4%29 ALIGN=MIDDLE  ALT=\"highlight%28x=%28-3%2B-+sqrt%2817%29%29%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >----using formula for general solution to a quadratic equation. </SPAN>\n" );
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