document.write( "Question 928166: Find all solutions of the equation 3 sin^2 x - 7 sin x + 2 = 0 in the interval [0,2pi).
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Algebra.Com's Answer #563900 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Substitute,
\n" ); document.write( " $\"u=sin%28x%29\"$
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\n" ); document.write( " $\"3u%5E2-7x%2B2=0\"$
\n" ); document.write( " $\"%28u-2%29%283u-1%29=0\"$
\n" ); document.write( "Two \"u\" solutions:
\n" ); document.write( " $\"u-2=0\"$
\n" ); document.write( " $\"u=2\"$
\n" ); document.write( " $\"sin%28x%29=2\"$
\n" ); document.write( "No solution since $\"sin%28x%29%3C=1\"$
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\n" ); document.write( " $\"3u-1=0\"$
\n" ); document.write( " $\"3u=1\"$
\n" ); document.write( " $\"u=1%2F3\"$
\n" ); document.write( " $\"sin%28x%29=1%2F3\"$
\n" ); document.write( " $\"x=19.5\"$ and $\"x=160.5\"$ $\"degrees\"$ \n" ); document.write( "

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