Find the number of non-zero integral solutions of the equation | 1 − i

NCERT Class XI Mathematics - Complex Numbers and Quadratic Equations - Solutions

Question : 50

Total: 52

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

Solution:

|1−i|x = 2x , (√1+1)x = 2x ⇒ (√2)x = 2x
⇒ (2

)x = 2x ⇒ 2

= 2x ⇒

= x ⇒ 2x = x ⇒ x = 0
∴ The number of non-zero integral solutions is 0.

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