document.write( "Question 167218: For the life of me, I cannot solve 4cos^2x - sinx -5 = 0. Any help would be appreciated. \n" ); document.write( "
Algebra.Com's Answer #123149 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
For the life of me, I cannot solve 4cos^2x - sinx -5 = 0. Any help would be appreciated\r
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document.write( "Use the Pythagorean identity \"COS%5E2alpha=1-SIN%5E2alpha\"\r\n" );
document.write( "to replace \"COS%5E2x\" by \"1-SIN%5E2x\"\r\n" );
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document.write( "\"4%281-SIN%5E2x%29+-+SINx+-5+=+0\"\r\n" );
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document.write( "\"4-4SIN%5E2x+-+SINx+-5+=+0\"\r\n" );
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document.write( "\"-4SIN%5E2x+-+SINx+-1+=+0\"\r\n" );
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document.write( "Multiply thru by \"-1\"\r\n" );
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document.write( "\"4SIN%5E2x+%2B+SINx+%2B1+=+0\"\r\n" );
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document.write( "This is a quadratic in \"SINx\"\r\n" );
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document.write( "But it can have no solution since the discriminant\r\n" );
document.write( "would be negative  \"b%5E2-4ac=1%5E2-4%2A4%2A1=1-16=-15\"\r\n" );
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document.write( "Edwin
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