document.write( "Question 1016749: \"+sqrt%284%2Bsqrt%284-+sqrt%28+4%2B+sqrt%284-%22%22%2A%22%22%2A%22%22%2A%22%22%29%29%29%29\" \n" ); document.write( "
Algebra.Com's Answer #633185 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Let the expression = x\r\n" );
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document.write( "\"%22%22=%22%22\"\"x\"\r\n" );
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document.write( "Notice that the red expression is the same as the original \r\n" );
document.write( "expression, so\r\n" );
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document.write( "\"+sqrt%284%2Bsqrt%284-+x%29%29%29%29\"\"%22%22=%22%22\"\"x\"\r\n" );
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document.write( "Square and isolate radicals until you end up with this 4th degree equation.\r\n" );
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document.write( "\"x%5E4-8x%5E2%2Bx%2B12\"\"0\"\"%22%22=%22%22\"\"0\"\r\n" );
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document.write( "which factors by trial and error as\r\n" );
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document.write( "\"%28x%5E2-x-3%29%28x%5E2%2Bx-4%29\"\"%22%22=%22%22\"\"0\"\r\n" );
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document.write( "Setting each one equal to 0 and solving by the quadratic formula\r\n" );
document.write( "gives \r\n" );
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document.write( "\"x=%281+%2B-+sqrt%2813%29%29%2F2\" and \"x=%281+%2B-+sqrt%2817%29%29%2F2\"\r\n" );
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document.write( "The answer must be positive, so it is one of these:\r\n" );
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document.write( "\"x=%281+%2B+sqrt%2813%29%29%2F2\" or \"x=%281+%2B+sqrt%2817%29%29%2F2\"\r\n" );
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document.write( "The first one satisfies\r\n" );
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document.write( "\"+sqrt%284%2Bsqrt%284-+x%29%29%29%29\"\"%22%22=%22%22\"\"x\"\r\n" );
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document.write( "but the second one does not.\r\n" );
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document.write( "Answer: \"+sqrt%284%2Bsqrt%284-+sqrt%28+4%2B+sqrt%284-%22%22%2A%22%22%2A%22%22%2A%22%22%29%29%29%29\"\"%22%22=%22%22\"\"%281+%2B+sqrt%2813%29%29%2F2\"\r\n" );
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document.write( "Edwin
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