Let z be a complex number such that the ...

Let z be a complex number such that the imaginary part of z is nonzero and `a = z^2 + z + 1` is real. Then a cannot take the value

-1

`1/3`

`1/2`

`3/4`

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Let z be a complex number such that the imaginary part of z is nonzero and `a = z^2 + z + 1` is real. Then a cannot take the value

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