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.
19
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.