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


We have equation as:

|1-i|x = 2x



(√2)x = 2x


2x/2 = 2x


On equating powers, we get:



x = 2x


2x - x = 0


x = 0


Hence, for the given solution 0 is the only integral solution.


18
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