document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182984>Question 1182984</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the solutions of the equation cos 2x + cos 𝑥 + 1 = 0 in the interval [0, 2𝜋). Check your answer if it is a solution or not. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #813117 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=813117\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> cos2x + cosx + 1 = cos^2x - sin^2x + cosx + cos^2 x + sin^2x = 2cos^2x + cosx = 0\r<BR>\n" );
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document.write( "==> cosx(2cosx + 1) = 0 ==> cos x = 0 or 2cosx + 1 = 0\r<BR>\n" );
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document.write( "cosx = 0 ==> x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F2 ALIGN=MIDDLE  ALT=\"pi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Api%2F2 ALIGN=MIDDLE  ALT=\"3%2Api%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "2cosx + 1 = 0 ==> x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Api%2F3 ALIGN=MIDDLE  ALT=\"2%2Api%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Api%2F3 ALIGN=MIDDLE  ALT=\"4%2Api%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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