The number of non-zero integral solutions of the equation |1−i|x=2x is
zero
1
2
None of these
Since1-i = √2 [cosπ4−isinπ4], |1-i|
∴ |1−i|x=2x ⇒ (√2)x=2x ⇒ 2x/2 =2x
⇒ x2=x then x=0.
Therefore, the number of non-zero integral solutions is nil or Zero.
Find the number of non-zero integral solutions of the equation |1−i|x=2x.