document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=858235>Question 858235</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find all values of x in the interval [0,2pi] that satisfy 2cos^2x+1=3cosx </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #517127 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=517127\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find all values of x in the interval [0,2pi] that satisfy<BR>\n" );
document.write( "2cos^2x+1=3cosx<BR>\n" );
document.write( "2cos^2x-3cosx+1=0<BR>\n" );
document.write( "(2cosx-1)(cosx-1)=0<BR>\n" );
document.write( "2cosx-1=0<BR>\n" );
document.write( "cosx=1/2<BR>\n" );
document.write( "x=&#960;/3, 5&#960;/3<BR>\n" );
document.write( "or<BR>\n" );
document.write( "cosx-1=0<BR>\n" );
document.write( "cosx=1<BR>\n" );
document.write( "x=0, 2&#960;<BR>\n" );
document.write( "values of x in the interval [0,2pi] : 0, &#960;/3, 5&#960;/3, 2&#960; </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );