document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=742642>Question 742642</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3t%5E2+%2B+2+=+9t%5E4+ ALIGN=MIDDLE  ALT=\"+3t%5E2+%2B+2+=+9t%5E4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "My working:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283t%5E2+%2B+1%29%283t%5E2+-+2%29+=+0+ ALIGN=MIDDLE  ALT=\"+%283t%5E2+%2B+1%29%283t%5E2+-+2%29+=+0+\"   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=+3t%5E2+-+2+=+0+ ALIGN=MIDDLE  ALT=\"+3t%5E2+-+2+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5E2+=+2%2F3+ ALIGN=MIDDLE  ALT=\"+t%5E2+=+2%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+-+sqrt%282%2F3%29+ ALIGN=MIDDLE  ALT=\"+t+=+-+sqrt%282%2F3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > & <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+sqrt%282%2F3%29+ ALIGN=MIDDLE  ALT=\"+t+=+sqrt%282%2F3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The textbook answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+-+sqrt%286%29%2F2+ ALIGN=MIDDLE  ALT=\"+t+=+-+sqrt%286%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > & <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+sqrt%286%29%2F2+ ALIGN=MIDDLE  ALT=\"+t+=+sqrt%286%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Please help me find where I went wrong. Thanks.<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 #452615 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=452615\">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=+3t%5E2+%2B+2+=+9t%5E4+ ALIGN=MIDDLE  ALT=\"+3t%5E2+%2B+2+=+9t%5E4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\"\r<BR>\n" );
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document.write( "\"My working:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283t%5E2+%2B+1%29%283t%5E2+-+2%29+=+0+ ALIGN=MIDDLE  ALT=\"+%283t%5E2+%2B+1%29%283t%5E2+-+2%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\"\r<BR>\n" );
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document.write( ",..but you do not have a source for the difference of two squares.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3t%5E2+%2B+2+=+9t%5E4 ALIGN=MIDDLE  ALT=\"3t%5E2+%2B+2+=+9t%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9t%5E4-3t%5E2-2=0 ALIGN=MIDDLE  ALT=\"9t%5E4-3t%5E2-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Treating <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2 ALIGN=MIDDLE  ALT=\"t%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > as the variable and resorting to solution to quadratic formula,<BR>\n" );
document.write( "you find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2=-1%2F3 ALIGN=MIDDLE  ALT=\"t%5E2=-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2=2%2F3 ALIGN=MIDDLE  ALT=\"t%5E2=2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "No REAL solution from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2=-1%2F3 ALIGN=MIDDLE  ALT=\"t%5E2=-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but for the other intermediary result, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28t=-sqrt%282%2F3%29%29 ALIGN=MIDDLE  ALT=\"highlight%28t=-sqrt%282%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28t=sqrt%282%2F3%29%29 ALIGN=MIDDLE  ALT=\"highlight%28t=sqrt%282%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "One last detail to finish you may want is to rationalize the denominator.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28sqrt%282%2F3%29%29%2A%28sqrt%283%29%2Fsqrt%283%29%29=sqrt%286%29%2F3%29 ALIGN=MIDDLE  ALT=\"highlight%28%28sqrt%282%2F3%29%29%2A%28sqrt%283%29%2Fsqrt%283%29%29=sqrt%286%29%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and similarly for the negative t result. </SPAN>\n" );
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