Difference between revisions of "1989 AHSME Problems/Problem 18"
(Created page with "The set of all real numbers for which <cmath>x+\sqrt{x^2+1}-\frac{1}{x+\sqrt{x^2+1}}</cmath> is a rational number is the set of all (A) integers <math>x</math> (B) rational <m...") |
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Revision as of 04:44, 19 February 2012
The set of all real numbers for which
![\[x+\sqrt{x^2+1}-\frac{1}{x+\sqrt{x^2+1}}\]](http://latex.artofproblemsolving.com/1/4/f/14fbbf1d306af9fed15519af602e8092a4b49982.png)
is a rational number is the set of all
(A) integers 
(B) rational (C) real
(D) for which 
is rational
(E) for which 
is rational
