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## Homework Statement

Find all real numbers [itex]x = \sqrt[2]{x-1/x} + \sqrt[2]{1-1/x}[/itex]

* Note that [itex]\sqrt[2]{x-1/x}[/itex] is different from [itex]\sqrt[2]{1-1/x}[/itex]

## Homework Equations

Algebric equations

## The Attempt at a Solution

Squaring the equation will not really work, so I tried to substitute x for y = 1 - 1/x and, although I couldn't get the answer, it feels to be a good way: solve by substitution of variables.