document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=312465>Question 312465</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2x-cos(x)+1=0<BR>\n" );
document.write( "2x-cos(x)+1=1\r<BR>\n" );
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document.write( "Solve for x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #223413 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=223413\">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=f%28x%29=2x-cos%28x%29%2B1=0 ALIGN=MIDDLE  ALT=\"f%28x%29=2x-cos%28x%29%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I used Newton's method and found <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=0%29 ALIGN=MIDDLE  ALT=\"highlight%28x=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as a solution which is verified graphically below.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-2%2C+2%2C+-10%2C+10%2C+2x-cos%28x%29%2B1%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-2%2C+2%2C+-10%2C+10%2C+2x-cos%28x%29%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=2x-cos%28x%29%2B1=1 ALIGN=MIDDLE  ALT=\"f%28x%29=2x-cos%28x%29%2B1=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=2x-cos%28x%29=0 ALIGN=MIDDLE  ALT=\"f%28x%29=2x-cos%28x%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I solved this one by hand using an EXCEL spreadsheet.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-1%2C+2%2C+-10%2C+10%2C+2x-cos%28x%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-1%2C+2%2C+-10%2C+10%2C+2x-cos%28x%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=0.450199%29 ALIGN=MIDDLE  ALT=\"highlight%28x=0.450199%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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