document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=891622>Question 891622</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine whether the given x-value is a solution of the equation.\r<BR>\n" );
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document.write( "x/2x+1 = 5/4-x^2 , x=-1\r<BR>\n" );
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document.write( "True\r<BR>\n" );
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document.write( "False  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #539886 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=539886\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I assume the equation is really<BR>\n" );
document.write( "x/(2x+1)= 5/(4-x^2) or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%282x%2B1%29=+5%2F%284-x%5E2%29 ALIGN=MIDDLE  ALT=\"x%2F%282x%2B1%29=+5%2F%284-x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "(If you cannot write the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B1 ALIGN=MIDDLE  ALT=\"2x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4-x%5E2 ALIGN=MIDDLE  ALT=\"4-x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > as denominators,<BR>\n" );
document.write( "under long horizontal lines,<BR>\n" );
document.write( "the only way to show that those deonminators need to be calculated first is to wrap them in parentheses).<BR>\n" );
document.write( "Substituting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1 ALIGN=MIDDLE  ALT=\"x=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > into that equation we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%282%2A%28-1%291%2B1%29=+5%2F%284-%28-1%29%5E2%29 ALIGN=MIDDLE  ALT=\"1%2F%282%2A%28-1%291%2B1%29=+5%2F%284-%28-1%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , which is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28-2%2B1%29=5%2F%284-1%29 ALIGN=MIDDLE  ALT=\"1%2F%28-2%2B1%29=5%2F%284-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F-1=5%2F3 ALIGN=MIDDLE  ALT=\"1%2F-1=5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1=5%2F3 ALIGN=MIDDLE  ALT=\"-1=5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "That is false.<BR>\n" );
document.write( " <BR>\n" );
document.write( "The equation you wrote is<BR>\n" );
document.write( "x/2x+1 = 5/4-x^2 or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F2x%2B1+=+5%2F4-x%5E2 ALIGN=MIDDLE  ALT=\"x%2F2x%2B1+=+5%2F4-x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "which is different, because without the parentheses,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F2x=1%2F2 ALIGN=MIDDLE  ALT=\"x%2F2x=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is calculated first, before adding <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "For that equation, substituting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1 ALIGN=MIDDLE  ALT=\"x=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > gives us<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%2F2%28-1%29%2B1+=+5%2F4-%28-1%29%5E2 ALIGN=MIDDLE  ALT=\"%28-1%29%2F2%28-1%29%2B1+=+5%2F4-%28-1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > , which is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2%2B1+=+5%2F4-1 ALIGN=MIDDLE  ALT=\"1%2F2%2B1+=+5%2F4-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2+=-1%2F4 ALIGN=MIDDLE  ALT=\"3%2F2+=-1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "That is also false.\r<BR>\n" );
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