document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=123107>Question 123107</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321269470/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Why is it especially important to check the possiable soutions to a rational equation? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #90360 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=90360\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Notice that, a rational equation has the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=denominators ALIGN=MIDDLE  ALT=\"denominators\"   DISABLED_style= \"max-width:90%; height:auto;\" > and all the \r<BR>\n" );
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document.write( "difficulties come from them. Whichever method you use to solve a rational \r<BR>\n" );
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document.write( "equation, at some point you're going to get rid of the denominators. \r<BR>\n" );
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document.write( "Remember that, with rational equations, you <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=always ALIGN=MIDDLE  ALT=\"always\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+have ALIGN=MIDDLE  ALT=\"+have\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+to ALIGN=MIDDLE  ALT=\"+to\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+check ALIGN=MIDDLE  ALT=\"+check\"   DISABLED_style= \"max-width:90%; height:auto;\" > the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=answers+ ALIGN=MIDDLE  ALT=\"answers+\"   DISABLED_style= \"max-width:90%; height:auto;\" >back in the original equation because you can \r<BR>\n" );
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document.write( "end up with an <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=invalid ALIGN=MIDDLE  ALT=\"invalid\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+solution ALIGN=MIDDLE  ALT=\"+solution\"   DISABLED_style= \"max-width:90%; height:auto;\" >. If you find an invalid solution \r<BR>\n" );
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document.write( "(even you didn't do anything wrong), it might causes division by zero, then \r<BR>\n" );
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document.write( "the equation really has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=no+ ALIGN=MIDDLE  ALT=\"no+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=solution ALIGN=MIDDLE  ALT=\"solution\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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