document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=735476>Question 735476</A>: <I><SPAN STYLE=\"word-break: break-all;\"> verify all solutions to the equations in the interval [0,2pie)\r<BR>\n" );
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document.write( "2sin^2x=2+cosx </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #449444 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=449444\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> verify all solutions to the equations in the interval [0,2pie) <BR>\n" );
document.write( "2sin^2x=2+cosx<BR>\n" );
document.write( "2(1-cos^2x)=2+cosx<BR>\n" );
document.write( "2-2cos^2x=2+cosx<BR>\n" );
document.write( "2cos^2x+cosx=0<BR>\n" );
document.write( "cosx(2cosx+1)=0<BR>\n" );
document.write( "..<BR>\n" );
document.write( "cosx=0<BR>\n" );
document.write( "x=1<BR>\n" );
document.write( "..<BR>\n" );
document.write( "2cosx+1=0<BR>\n" );
document.write( "cosx=-1/2<BR>\n" );
document.write( "x=2&#960;/3, 4&#960;/3 (in Q2 and Q3 where cos<0)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "solutions: x=1, 2&#960;/3, 4&#960;/3 </SPAN>\n" );
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