document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=752989>Question 752989</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find, to the nearest tenth of a degree, all values of x in the interval 0degree <_ x < 360degree that satisfy the equation 8 cos^2 x - 2 cos x - 1 = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #458164 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=458164\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find, to the nearest tenth of a degree, all values of x in the interval 0degree <_ x < 360degree that satisfy the equation <BR>\n" );
document.write( "8 cos^2 x - 2 cos x - 1 = 0<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "8cos^2 -4cos + 2cos -1 = 0<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "4cos(2cos-1) + (2cos-1) = 0<BR>\n" );
document.write( "(2cos-1)(4cos+1) = 0<BR>\n" );
document.write( "------<BR>\n" );
document.write( "cos(x) = 1/2 or cos(x) = -1/4<BR>\n" );
document.write( "x = +-60 degrees or x = 104.48 or x = 255.52<BR>\n" );
document.write( "=================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );