In the equation ${(x - m)}^{2} - {(x - n)}^{2} = {(m - n)}^{2}$ , $m$ is a fixed positive number, and $n$ is a fixed negative number. The set of values $x$ satisfying the equation is:

x \geq 0

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x \leq n

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x = 0

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the set of all real numbers

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none of these

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Solution

The correct option is E none of these

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