document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=3243>Question 3243</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I solve this equation using the quadratic formula\r<BR>\n" );
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document.write( "3-4/x-2/x2=0\r<BR>\n" );
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document.write( "THREE - FOUR OVER X - TWO OVER X SQUARED = ZERO </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #1405 by </B><A HREF=/tutors/aboutme.mpl?userid=drglass><B>drglass(89)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drglass><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=1405\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The first thing you want to do is make this formula look nice. Take <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+-+%284%2Fx%29+-+%282%2Fx%5E2%29+=+0 ALIGN=MIDDLE  ALT=\"3+-+%284%2Fx%29+-+%282%2Fx%5E2%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This will give you:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2+-+4x+-+2+=+0 ALIGN=MIDDLE  ALT=\"3x%5E2+-+4x+-+2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "This is a lot easier to look at, but keep in mind, x = 0 could be a problem.<br><BR>\n" );
document.write( "To find the roots of this equation, use the quadratic formula:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-b+%2B-+sqrt%28b%5E2+-+4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"%28-b+%2B-+sqrt%28b%5E2+-+4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "Setting a = 3, b = -4 and c = -2, the quadratic formulat becomes:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284+%2B-+sqrt%28%28-4%29%5E2+-+4%283%29%28-2%29%29%29%2F%282%283%29%29+=+%284+%2B-+sqrt%2816+%2B+24%29%29%2F6+=+%284+%2B-+sqrt%2840%29%29%2F6 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "So the roots of the equation are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284+%2B+sqrt%2840%29%29%2F6 ALIGN=MIDDLE  ALT=\"%284+%2B+sqrt%2840%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284+-+sqrt%2840%29%29%2F6 ALIGN=MIDDLE  ALT=\"%284+-+sqrt%2840%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >. If you plug these numbers into a calculator you will see they work. </SPAN>\n" );
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