document.write( "Question 26045: 6sin^2x - sinx - 2 = 0 \n" ); document.write( "
Algebra.Com's Answer #14020 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
6sin²x - sinx - 2 = 0 for 0° £ x < 360°\r\n" );
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document.write( "Replace sinx by w, and sin²x by w²\r\n" );
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document.write( "6w² - w - 2 = 0\r\n" );
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document.write( "(2w+1)(3w-2) = 0\r\n" );
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document.write( "2w+1 = 0  ;  3w-2 = 0\r\n" );
document.write( "  2w = -1      3w = 2\r\n" );
document.write( "   w = -1/2     w = 2/3\r\n" );
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document.write( "Replace w by sinx\r\n" );
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document.write( "sinx = -1/2        sinx = 2/3\r\n" );
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document.write( "x = 210°±360°k     x = 41.8103149°±360°k\r\n" );
document.write( "x = 330°±360°k     x = 138.1696851°±360°k\r\n" );
document.write( "where k = any integer\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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