Skip to content / Đến nội dung
ThichHocToan.com

1989 AMC 12 Question 18

AMC12 · 1989 AMC 12

Question 18

The set of all real numbers $x$ for which $$
x+\sqrt{x^2+1}-\frac1{x+\sqrt{x^2+1}}
$$ is a rational number is the set of all
  1. integers $x$
  2. rational $x$
  3. real $x$
  4. $x$ for which $\sqrt{x^2+1}$ is rational
  5. $x$ for which $x+\sqrt{x^2+1}$ is rational