My Seventh Problem

Algebra Level 5

If a complex number \(j\) exists such that

\(j^{j}=i\)

where \(i\) is equal to the square root of \(-1\), find it in the form

\(j=x+iy\)

and sum the real and imaginary parts correct to two decimal places.

If there is no such complex number \(j\), write \(0\) as your answer.

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