document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=411220>Question 411220</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to solve this rational equation 18/x-3+18/x+3=8<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #854233 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13355)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=854233\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Almost certainly, your equation is 18/(x-3)+18/(x+3)=8.  (If you are working a problem like this, then you should be far enough in your study of algebra to know that proper use of parentheses is important!)<br><BR>\n" );
document.write( "Inspection and a little logical reasoning and mental arithmetic show that x=6 is a solution.  However, formal algebra shows that there are two solutions....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2F%28x-3%29%2B18%2F%28x%2B3%29=8 ALIGN=MIDDLE  ALT=\"18%2F%28x-3%29%2B18%2F%28x%2B3%29=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%28x%2B3%29 ALIGN=MIDDLE  ALT=\"%28x-3%29%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to clear fractions:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%28x%2B3%29%2B18%28x-3%29=8%28x%2B3%29%28x-3%29 ALIGN=MIDDLE  ALT=\"18%28x%2B3%29%2B18%28x-3%29=8%28x%2B3%29%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18x%2B54%2B18x-54=8%28x%5E2-9%29=8x%5E2-72 ALIGN=MIDDLE  ALT=\"18x%2B54%2B18x-54=8%28x%5E2-9%29=8x%5E2-72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36x=8x%5E2-72 ALIGN=MIDDLE  ALT=\"36x=8x%5E2-72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%5E2-36x-72=0 ALIGN=MIDDLE  ALT=\"8x%5E2-36x-72=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%5E2-9x-18=0 ALIGN=MIDDLE  ALT=\"2x%5E2-9x-18=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-6%29%282x%2B3%29=0 ALIGN=MIDDLE  ALT=\"%28x-6%29%282x%2B3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6 ALIGN=MIDDLE  ALT=\"x=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-3%2F2 ALIGN=MIDDLE  ALT=\"x=-3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWERS: 6 and -3/2 </SPAN>\n" );
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