document.write( "Question 989440: If the reciprocal of 2x +1 is 2x-1, find x.\r
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Algebra.Com's Answer #609767 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "If the reciprocal of 2x+1 is 2x-1, find x.
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document.write( "\"1%2F%282x%2B1%29=2x-1\"\r\n" );
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document.write( "Multiply both sides by (2x+1)\r\n" );
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document.write( "\"1=%282x-1%29%282x%2B1%29\"\r\n" );
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document.write( "\"1=4x%5E2-1\"\r\n" );
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document.write( "\"0=4x%5E2-2\"\r\n" );
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document.write( "Divide through by 2\r\n" );
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document.write( "\"0=2x%5E2-1\"\r\n" );
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document.write( "\"1=2x%5E2\"\r\n" );
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document.write( "\"1%2F2=x%5E2\"\r\n" );
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document.write( "\"%22%22+%2B-+sqrt%281%2F2%29+=+x\"\r\n" );
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document.write( "\"%22%22+%2B-+1%2Fsqrt%282%29+=+x\"\r\n" );
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document.write( "Rationalize by multiplying by \"sqrt%282%29%2Fsqrt%282%29\"\r\n" );
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document.write( "\"%22%22+%2B-+sqrt%282%29%2F2+=+x\"\r\n" );
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document.write( "Edwin
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