Question 27
Find all real numbers $x$ such that
$$
x = \left(x - \frac{1}{x}\right)^{1/2} + \left(1 - \frac{1}{x}\right)^{1/2}
$$
$$
x = \left(x - \frac{1}{x}\right)^{1/2} + \left(1 - \frac{1}{x}\right)^{1/2}
$$
MathNet 1998 — Part 01 Question 27
Math Olympiad Vault · MathNet 1998 — Part 01