document.write( "Question 975739: if x=1/{2+sqrt( 3 )} ,then (3x-x^3)/(1-3x^3) =? \n" ); document.write( "
Algebra.Com's Answer #597428 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
if x=1/{2+sqrt( 3 )} ,then (3x-x^3)/(1-3x^3) =?
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document.write( "\"x\"\"%22%22=%22%22\"\"1%2F%282%2Bsqrt%28+3+%29%29\"\"%22%22%2A%22%22\"\"%282-sqrt%283%29%29%2F%282-sqrt%283%29%29\"\"%22%22=%22%22\"\"%282-sqrt%283%29%29%2F%284-3%29\"\"%22%22=%22%22\"\"%282-sqrt%283%29%29%2F1\"\"%22%22=%22%22\"\"2-sqrt%283%29\"\r\n" );
document.write( " \r\n" );
document.write( "\"x%5E3\"\"%22%22=%22%22\"\"%282-sqrt%283%29%29%5E3\"\"%22%22=%22%22\"\"%282-sqrt%283%29%29%282-sqrt%283%29%29%282-sqrt%283%29%29\"\"%22%22=%22%22\"\"%282-sqrt%283%29%29%284-4sqrt%283%29%2B3%29\"\"%22%22=%22%22\"\r\n" );
document.write( "\"%282-sqrt%283%29%29%287-4sqrt%283%29%29\"\"%22%22=%22%22\"\"14-15sqrt%283%29%2B12\"\"%22%22=%22%22\"\"26-15sqrt%283%29\"\r\n" );
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document.write( "Substitute for x and x3 in\r\n" );
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document.write( "\"%283x-x%5E3%29%2F%281-3x%5E3%29\"\"%22%22=%22%22\"\"%283%282-sqrt%283%29%29-%2826-15sqrt%283%29%29%29%2F%281-3%2826-15sqrt%283%29%29%29\"\"%22%22=%22%22\"\r\n" );
document.write( "\"%286-3sqrt%283%29-26%2B15sqrt%283%29%29%2F%281-78%2B45sqrt%283%29%29\"\"%22%22=%22%22\"\"%28-20%2B12sqrt%283%29%29%2F%28-77%2B45sqrt%283%29%29\"\"%22%22=%22%22\"\"%28-20%2B12sqrt%283%29%29%2F%28-77%2B45sqrt%283%29%29\"\"%22%22%2A%22%22\"\"%28-77-45sqrt%283%29%29%2F%28-77-45sqrt%283%29%29\"\"%22%22=%22%22\"\r\n" );
document.write( "\"%281540-24sqrt%283%29-1620%29%2F%285929-6075%29\"\"%22%22=%22%22\"\"%28-80-24sqrt%283%29%29%2F%28-146%29\"\"%22%22=%22%22\"\"%28-8%2810%2B3sqrt%283%29%29%29%2F%28-146%29\"\r\n" );
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document.write( "Divide top and bottom by -2\r\n" );
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document.write( "\"%284%2810%2B3sqrt%283%29%29%29%2F73\" or you can write that as\r\n" );
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document.write( "\"expr%284%2F73%29%2A%2810%2B3sqrt%283%29%29\" if you prefer.\r\n" );
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document.write( "Edwin
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