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Find the number of non-zero integral solutions of the equation |1 - i|^x = 2^x.

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Find the number of non-zero integral solutions of the equation |1 - i|x = 2x.

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Given |1 - i|x = 2x

⇒ √(1 + 1)x = 2x

2x/2 = 2x

∴ x/2 = x ⇒ x = 0

∴ There is no non-zero integral solution

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