document.write( "Question 21269: What number has the property that its reciprocal is one less than the number? hint: the number is not an interger. \n" ); document.write( "
Algebra.Com's Answer #11749 by venugopalramana(3286)\"\" \"About 
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LET THE NUMBER = X
\n" ); document.write( "ONE LESS THAN THE NUMBER =X-1
\n" ); document.write( "RECIPROCAL =1/X
\n" ); document.write( "SO X-1=1/X..MULTIPLYING BY X
\n" ); document.write( "X(X-1)=1
\n" ); document.write( "X^2-X-1=0
\n" ); document.write( "USING THE QUADRATIC FORMULA
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\" ,WE HAVE A=1,B= -1,C= -1...SO
\n" ); document.write( "\"x+=+%281+%2B-+sqrt%28+1%2B4+%29%29%2F%282%29+\"
\n" ); document.write( "HENCE THE NUMBERS ARE ..NOTE THAT THERE ARE 2 ANSWERS
\n" ); document.write( "\"x+=+%281+%2B-+sqrt%285%29%29%2F%282%29+\" \r
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