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Find the number of non-zero integral solutions of the equation |1 – i|ˣ = 2ˣ
Solution:
It is given that |1 – i|ˣ = 2ˣ.
We know that |1 - i| = √[(1)2 + (-1)2] = √2.
Using this the given equation becomes,
(√2)x = 2x
2x/2 = 2x
x/2 = x (Using the equality property of exponential equations)
There is only one real number x = 0 which satisfies this equation.
But the problem is asking for non-zero integral solutions which do not exist in this case.
Therefore, the number of non-zero integral solutions is 0
NCERT Solutions Class 11 Maths Chapter 5 Exercise ME Question 18
Find the number of non-zero integral solutions of the equation |1 – i|ˣ = 2ˣ
Summary:
The number of non-zero integral solutions of the equation |1 – i|ˣ = 2ˣ is 0
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