document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1036084>Question 1036084</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For questions 1-2 solve each equation on the interval [0,2pi). Show all work.\r<BR>\n" );
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document.write( "1. 4 sin^2 x + 2 sin x- 2 = 0\r<BR>\n" );
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document.write( "2. 2 sin(3x) = 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #650698 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=650698\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4 sin^2 x + 2 sin x- 2 = 0 <BR>\n" );
document.write( "factor out a 2.<BR>\n" );
document.write( "2(2sin^2 x+ sin x -1)=0<BR>\n" );
document.write( "(2sinx-1)(sin x +1)=0<BR>\n" );
document.write( "2 sin x -1=0, 2 sin x=1, sin x =(1/2), where it is at pi/6 and 5 pi/6.<BR>\n" );
document.write( "sin x+1=0<BR>\n" );
document.write( "sin x=-1<BR>\n" );
document.write( "That is the case at 3pi/2.<BR>\n" );
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document.write( "2sin (3x)=1<BR>\n" );
document.write( "sin (3x)=(1/2)<BR>\n" );
document.write( "The solutions above are divided by 3, so it occurs at 3x=pi/6, and pi/18 and 5pi/18 would be the solutions.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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