document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=92533>Question 92533</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can you please help me solve the question:\r<BR>\n" );
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document.write( "determeine the vales for the variables for which the expression is defined as a real number\r<BR>\n" );
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document.write( "square of 3X^3-27X </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #67377 by </B><A HREF=/tutors/aboutme.mpl?userid=chitra><B>chitra(359)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=chitra><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=67377\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> square of 3X^3-27X\r<BR>\n" );
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document.write( "This can be written as: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%5E3+-+27x%29%5E2 ALIGN=MIDDLE  ALT=\"%283x%5E3+-+27x%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "For the above expression to be valid and defined on real numbers we equate it to zero. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%5E3+-+27x%29%5E2 ALIGN=MIDDLE  ALT=\"%283x%5E3+-+27x%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0 \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%5E3+-+27x%29 ALIGN=MIDDLE  ALT=\"%283x%5E3+-+27x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0 \r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%5E3%29+=+27x ALIGN=MIDDLE  ALT=\"%283x%5E3%29+=+27x\"   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=%283x%5E2%29+=+27 ALIGN=MIDDLE  ALT=\"%283x%5E2%29+=+27\"   DISABLED_style= \"max-width:90%; height:auto;\" >  one x term gets calcelled out \r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+%2827%2F3%29 ALIGN=MIDDLE  ALT=\"x%5E2+=+%2827%2F3%29\"   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=x%5E2+=+9 ALIGN=MIDDLE  ALT=\"x%5E2+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "==> Squaring both sides, we get:  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2B+-+9 ALIGN=MIDDLE  ALT=\"x+=+%2B+-+9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "thus the solution\r<BR>\n" );
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document.write( "Regards\r<BR>\n" );
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document.write( " </SPAN>\n" );
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