Suppose \( a, b \) are complex numbers and \( x^{3}+a x+b=0 \) has ...

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Suppose \( a, b \) are complex numbers and \( x^{3}+a x+b=0 \) has a pair of complex conjugate roots, then
(a) \( a \) is real and \( b \) is imaginary
(b) \( a \) is imaginary and \( b \) is real
(c) both \( a \) and \( b \) are real
(d) none of these
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