Complex Set

Algebra Level pending

Let \(A\) be a subset of the real numbers such that \(A=\left\{ a|a=|{ z }^{ 2 }+z-1| \right\} \) in which \(z\) is a complex number such that \(|z|=1 \). Then, the maximum value of \(a\) equals to?


Inspiration: Technological Institute of Aeronautics (ITA) admission exam
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