document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=374824>Question 374824</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how to solve 2sin^2x-3sinx+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 #266550 by </B><A HREF=/tutors/aboutme.mpl?userid=vasumathi><B>vasumathi(46)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vasumathi><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=266550\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve 2sin^2x-3sinx+1=0<BR>\n" );
document.write( "Solution : Let sinx = u<BR>\n" );
document.write( "plug in this in the given equation<BR>\n" );
document.write( "2u^2-3u+1 = 0<BR>\n" );
document.write( "This canbe factored as follows...<BR>\n" );
document.write( "(2u-1) ( u-1)= 0<BR>\n" );
document.write( "2u-1 = 0 -> 2sinx - 1 = 0-----> sinx = 1/2---> x = pie/6 Since this is periodic with a period 2 pie we have (2*n*pie+pie/6) as a complete solution<BR>\n" );
document.write( "now ...<BR>\n" );
document.write( "u-1 = 0 --->sinx-1=0-> sinx = 1-------->x = pie/2  .Since this is periodic with a period 2 pie we have (2*n*pie+pie/2) as a complete solution<BR>\n" );
document.write( "So the solutions are  1)(2*n*pie+pie/6)<BR>\n" );
document.write( "                      2)(2*n*pie+pie/2)\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );