The number of values of x satisfying the equation $\text{Tan}^{-1}(x+\frac{\sqrt{2}}{x}) + \text{Tan}^{-1}(x-\frac{\sqrt{2}}{x}) = \text{Tan}^{-1}(x)$ is
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When using the addition formula for $\text{Tan}^{-1}$, always state the condition under which it's valid (e.g., $AB<1$) and check your final solutions against this condition.