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Find the set of complex numbers z satisfying the two conditions: Re((z+1)^2)=0 and Im((z−1)^2)=2. Here Re(a...

Find the set of complex numbers z satisfying the two conditions: Re((z+1)^2)=0 and Im((z−1)^2)=2. Here Re(a + bi) = a and Im(a + bi) = b if both a, b ∈ R. Then find the cardinality of the set.

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