document.write( "Question 1090232: help please. \r
\n" ); document.write( "\n" ); document.write( "Solve: \r
\n" ); document.write( "\n" ); document.write( "2sin^2(theta) - 5sin(theta) +3 = 0 on [0,2pi]\r
\n" ); document.write( "\n" ); document.write( "I am not sure on this as I get -1 and -3/2\r
\n" ); document.write( "\n" ); document.write( "Thanks for any help. \n" ); document.write( "
Algebra.Com's Answer #704655 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Close, but your signs are off and you need to back-substitute.
\n" ); document.write( "\"u=sin%28theta%29\"
\n" ); document.write( "Then,
\n" ); document.write( "\"2u%5E2-5u%2B3=0\"
\n" ); document.write( "\"%28u-1%29%282u-3%29=0\"
\n" ); document.write( "So,
\n" ); document.write( "\"u-1=0\"
\n" ); document.write( "\"u=1\"
\n" ); document.write( "and
\n" ); document.write( "\"2u-3=0\"
\n" ); document.write( "\"2u=3\"
\n" ); document.write( "\"u=3%2F2\"
\n" ); document.write( "Now back-substitute,
\n" ); document.write( "\"sin%28theta%29=1\"
\n" ); document.write( "\"theta=pi%2F2\"
\n" ); document.write( "and
\n" ); document.write( "\"sin%28theta%29=3%2F2\"
\n" ); document.write( "No theta solution since \"abs%28sin%28theta%29%29%3C=1\"
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\n" ); document.write( "\"highlight_green%28theta=pi%2F2%29\"\r
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