document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=534178>Question 534178</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find all the solutions on the interval [0,2pi)<BR>\n" );
document.write( "tan^2x-4tanx+3=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #351408 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=351408\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find all the solutions on the interval [0,2pi)<BR>\n" );
document.write( "tan^2x-4tanx+3=0<BR>\n" );
document.write( "factor:<BR>\n" );
document.write( "(tanx-3)(tanx-1)=0<BR>\n" );
document.write( "tanx-3=0<BR>\n" );
document.write( "tanx=3<BR>\n" );
document.write( "using calculator:<BR>\n" );
document.write( "x=arctan(3)&#8776;1.25 and 4.57 radians  (in quadrants I and III where  tan>0)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "tanx-1=0<BR>\n" );
document.write( "tanx=1<BR>\n" );
document.write( "x=arctan(1)=&#960;/4 and 5&#960;/4 radians  (in quadrants I and III where  tan>0)<BR>\n" );
document.write( "solutions:1.25, 4.57, &#960;/4 and 5&#960;/4 radians </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );