If set \(M\) consists of the root(s) of equation \(2-x^2=(x-2)^2,\) what is the range of set \(M?\)

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If set \(M\) consists of the root(s) of equation \(2-x^2=(x-2)^2,\) what is the range of set \(M?\)

A. \(0\)

B. \(\dfrac1{\sqrt2}\)

C. \(1\)

D. \(\sqrt2\)

E. \(2\)

Answer: A

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