Question 2
(ROM) For which real numbers $x$ do the following equations hold:
(a) $\sqrt{x+\sqrt{2x-1}}+\sqrt{x+\sqrt{2x-1}}=\sqrt2$,
(b) $\sqrt{x+\sqrt{2x-1}}+\sqrt{x+\sqrt{2x-1}}=1$,
(c) $\sqrt{x+\sqrt{2x-1}}+\sqrt{x+\sqrt{2x-1}}=2$?
(a) $\sqrt{x+\sqrt{2x-1}}+\sqrt{x+\sqrt{2x-1}}=\sqrt2$,
(b) $\sqrt{x+\sqrt{2x-1}}+\sqrt{x+\sqrt{2x-1}}=1$,
(c) $\sqrt{x+\sqrt{2x-1}}+\sqrt{x+\sqrt{2x-1}}=2$?