document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=980846>Question 980846</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that 3^x=9^x+1  work out the value of x.\r<BR>\n" );
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document.write( "My wrong workings:<BR>\n" );
document.write( "3x=9x+1<BR>\n" );
document.write( "X+1squareroot 3x=9<BR>\n" );
document.write( "X=9-x+1squareroot3x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #601924 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=601924\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%5Ex-3%5Ex=-1 ALIGN=MIDDLE  ALT=\"9%5Ex-3%5Ex=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%5E2%29%5Ex-3%5Ex=-1 ALIGN=MIDDLE  ALT=\"%283%5E2%29%5Ex-3%5Ex=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%5E%282x%29%29-3%5Ex=-1 ALIGN=MIDDLE  ALT=\"%283%5E%282x%29%29-3%5Ex=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%5Ex%29%5E2-3%5Ex=-1 ALIGN=MIDDLE  ALT=\"%283%5Ex%29%5E2-3%5Ex=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%5Ex%29%5E2-3%5Ex%2B1=0 ALIGN=MIDDLE  ALT=\"%283%5Ex%29%5E2-3%5Ex%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Pick an arbitrary new variable.<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=3%5Ex ALIGN=MIDDLE  ALT=\"p=3%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and rewrite the equation as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2-p%2B1=0 ALIGN=MIDDLE  ALT=\"p%5E2-p%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now first solve this equation for p.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=%281%2B-+sqrt%281%5E2-4%2A1%2A1%29%29%2F2 ALIGN=MIDDLE  ALT=\"p=%281%2B-+sqrt%281%5E2-4%2A1%2A1%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  according to general solution of a quadratic equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=%281%2B-+sqrt%28-3%29%29%2F2 ALIGN=MIDDLE  ALT=\"p=%281%2B-+sqrt%28-3%29%29%2F2\"   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=p=%281%2B-+i%2Asqrt%283%29%29%2F2 ALIGN=MIDDLE  ALT=\"p=%281%2B-+i%2Asqrt%283%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Next substitute for p.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5Ex=%281%2B-+i%2Asqrt%283%29%29%2F2 ALIGN=MIDDLE  ALT=\"3%5Ex=%281%2B-+i%2Asqrt%283%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a complex result, still unfinished.<BR>\n" );
document.write( "-<BR>\n" );
document.write( "Unless I made a mistake in the process, this is not a beginner's exercise.  Maybe another tutor can carry this to a solution for x. </SPAN>\n" );
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