document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=369340>Question 369340</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I have to find all real solutions of the following:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E5+%2B+7x%5E3+-+3x%5E2+%2B+2 ALIGN=MIDDLE  ALT=\"3x%5E5+%2B+7x%5E3+-+3x%5E2+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I found all possible rational zeros: +/- [<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >]\r<BR>\n" );
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document.write( "I graphed the equation and it looked like there was one zero at -.5 somehow, and I'm completely confused now :(\r<BR>\n" );
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document.write( "Thanks for any help you can provide, have a great night. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #263204 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=263204\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It looks like that but the actual zero is at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-0.528995 ALIGN=MIDDLE  ALT=\"x=-0.528995\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "I used Newton's method to find that root with a starting value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B0%5D=1 ALIGN=MIDDLE  ALT=\"x%5B0%5D=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and it settled within 10 iterations.<BR>\n" );
document.write( "The other 4 zeros are complex.<BR>\n" );
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