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

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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
1
2
)x = 2x ⇒ 2
x
2
 = 2x ⇒
x
2
 = x ⇒ 2x = x ⇒ x = 0
∴ The number of non-zero integral solutions is 0.
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