document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1001469>Question 1001469</A>: <I><SPAN STYLE=\"word-break: break-all;\"> By using the Newton-Raphson’s method find the root of the quadratic equation <BR>\n" );
document.write( "X^3+logx to base 10 = 0 upto 3 decimal places . And plz suggest me how to find that the root lies between this to this </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #618673 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=618673\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It's not a quadratic equation, it's a non-linear equation. <BR>\n" );
document.write( "If it was quadratic, you could use the quadratic formula.<BR>\n" );
document.write( "First find the derivative.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E3%2Blog%28x%29 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E3%2Blog%28x%29\"   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=3x%5E2%2B1%2Fx ALIGN=MIDDLE  ALT=\"df%2Fdx=3x%5E2%2B1%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Graph the equation to find what starting value you should choose for the iteration.<BR>\n" );
document.write( "It looks like the root is between 0 and 1.<BR>\n" );
document.write( "I'll choose <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;\" > since the function and derivative are not defined at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Fombitz&illustration_name=DS4.JPG\">.<BR>\n" );
document.write( "I let the iterations run until the change in successive x values was less than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E%28-6%29 ALIGN=MIDDLE  ALT=\"10%5E%28-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Fombitz&illustration_name=DS5.JPG\">. </SPAN>\n" );
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