Equation

\( |1-i|^x=2^x\)

\(( \sqrt{1^2+(-1)^2})^x=2^x\)

\( (\sqrt{2})^x=2^x\)

\(2^{\dfrac{x}{2}}= 2^x\)

\( \dfrac{x}{2}=x\)

x = 2x

x = 0

Thus, 0 is the only integral solution of the given equation. Therefore, the number of nonzero integral solutions of the given equation is 0 .

Answered by Pragya Singh | 1 year agoShow that 1 + i^{10} + i^{20} + i^{30} is a real number?

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