document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=367395>Question 367395</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I'm being asked to find all real solutions of the following equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+3x%5E5+%2B+7x%5E3+-+3x%5E2+%2B+2 ALIGN=MIDDLE  ALT=\"f%28x%29+=+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( "Not sure how to get started here. I should be good to go once I know how to set the problem up. Thanks for any guidance you can provide!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #261949 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=261949\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Graph it to see if it has any real solutions.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-3%2C+3%2C+-3%2C+3%2C3x%5E5%2B7x%5E3-3x%5E2%2B2%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-3%2C+3%2C+-3%2C+3%2C3x%5E5%2B7x%5E3-3x%5E2%2B2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "I used Newton's method, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f=3x%5E5%2B7x%5E3-3x%5E2%2B2 ALIGN=MIDDLE  ALT=\"f=3x%5E5%2B7x%5E3-3x%5E2%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=df%2Fdx=5x%5E4%2B21x%5E2-6x ALIGN=MIDDLE  ALT=\"df%2Fdx=5x%5E4%2B21x%5E2-6x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bn%2B1%5D=x%5Bn%5D-f%28x%5Bn%5D%29%2F%28df%2Fdx%29%28x%5Bn%5D%29 ALIGN=MIDDLE  ALT=\"x%5Bn%2B1%5D=x%5Bn%5D-f%28x%5Bn%5D%29%2F%28df%2Fdx%29%28x%5Bn%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I started with <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 within 5 iterations, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-0.52899%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-0.52899%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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