document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1053562>Question 1053562</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find approximate solutions of the given equation\r<BR>\n" );
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document.write( "5sin^2 (x) - sin (x) - 2 = 0\r<BR>\n" );
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document.write( "thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #668757 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=668757\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+sin%28x%29+ ALIGN=MIDDLE  ALT=\"+z+=+sin%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2A%28sin%28x%29%29%5E2+-+sin%28x%29+-+2+=+0+ ALIGN=MIDDLE  ALT=\"+5%2A%28sin%28x%29%29%5E2+-+sin%28x%29+-+2+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5z%5E2+-+z+-+2+=+0+ ALIGN=MIDDLE  ALT=\"+5z%5E2+-+z+-+2+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+z+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+5+ ALIGN=MIDDLE  ALT=\"+a+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-1+ ALIGN=MIDDLE  ALT=\"+b+=+-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+-2+ ALIGN=MIDDLE  ALT=\"+c+=+-2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+%28-%28-1%29+%2B-+sqrt%28+%28-1%29%5E2+-+4%2A5%2A%28-2%29+%29%29%2F%282%2A5%29+ ALIGN=MIDDLE  ALT=\"+z+=+%28-%28-1%29+%2B-+sqrt%28+%28-1%29%5E2+-+4%2A5%2A%28-2%29+%29%29%2F%282%2A5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+%28+1+%2B-+sqrt%28+1+%2B+40+%29%29%2F10+ ALIGN=MIDDLE  ALT=\"+z+=+%28+1+%2B-+sqrt%28+1+%2B+40+%29%29%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+%28+1+%2B-+6.4031+%29+%2F+10+ ALIGN=MIDDLE  ALT=\"+z+=+%28+1+%2B-+6.4031+%29+%2F+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+7.4031%2F10+ ALIGN=MIDDLE  ALT=\"+z+=+7.4031%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+.7403+ ALIGN=MIDDLE  ALT=\"+z+=+.7403+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+-5.4031%2F10+ ALIGN=MIDDLE  ALT=\"+z+=+-5.4031%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+-.5403+ ALIGN=MIDDLE  ALT=\"+z+=+-.5403+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sin%28x%29+=+.7403+ ALIGN=MIDDLE  ALT=\"+sin%28x%29+=+.7403+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+arc+sin%28+.7403+%29+ ALIGN=MIDDLE  ALT=\"+x+=+arc+sin%28+.7403+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+47.757+ ALIGN=MIDDLE  ALT=\"+x+=+47.757+\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+arc+sin%28+-.5403+%29+ ALIGN=MIDDLE  ALT=\"+x+=+arc+sin%28+-.5403+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-32.704+ ALIGN=MIDDLE  ALT=\"+x+=+-32.704+\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Aso for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, I get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+180+-+47.757+ ALIGN=MIDDLE  ALT=\"+x+=+180+-+47.757+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+132.243+ ALIGN=MIDDLE  ALT=\"+x+=+132.243+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "( this is 2nd quadrant where sin is also positive )<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-180+-%28+-32.704+%29+ ALIGN=MIDDLE  ALT=\"+x+=+-180+-%28+-32.704+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-180+%2B+32.704+ ALIGN=MIDDLE  ALT=\"+x+=+-180+%2B+32.704+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-147.296+ ALIGN=MIDDLE  ALT=\"+x+=+-147.296+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "( this is 3rd quadrant where sin is also negative )<BR>\n" );
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document.write( "I think you need all 4 of these answers<BR>\n" );
document.write( "Get another opinion, also<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );