document.write( "Question 153489: find the zeros of the function
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Algebra.Com's Answer #112986 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
find the zeros of the function
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document.write( "\"f%28x%29=xe%5E%28-x%29+-e%5E%28-x%29\"\r\n" );
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document.write( "Set right side equal to zero:\r\n" );
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document.write( "\"xe%5E%28-x%29+-e%5E%28-x%29=0\"\r\n" );
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document.write( "Factor out \"e%5E%28-x%29\"\r\n" );
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document.write( "\"e%5E%28-x%29%28x-1%29=0\"\r\n" );
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document.write( "Now we set each factor equal to zero.\r\n" );
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document.write( "Setting first factor = 0:\r\n" );
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document.write( "\"e%5E%28-x%29=0\"\r\n" );
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document.write( "That part has no solution since a positive\r\n" );
document.write( "number raise to any power is always positive\r\n" );
document.write( "and thus can never equal to 0.\r\n" );
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document.write( "Setting \"x-1\" = 0\r\n" );
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document.write( "\"x-1=0\"\r\n" );
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document.write( "\"x=1\"\r\n" );
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document.write( "So 1 is the only solution.\r\n" );
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document.write( "Edwin
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