If \( a, b, c \in R, a \neq 0 \) and \( (b-1)^{2}4 a c \), then the number of real roots of the ...

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If \( a, b, c \in R, a \neq 0 \) and \( (b-1)^{2}4 a c \), then the number of real roots of the system of equation (in three unknowns \( x_{1} \), \( \left.x_{2}, x_{3}\right) \)
\( a x_{1}^{2}+b x_{1}+c=x_{2}, \quad a x_{2}^{2}+b x_{2}+c=x_{3}, a x_{3}^{2}+b x_{3}+c=x_{1} \) is
(a) 0
(b) 1
(c) 2
(d) 3
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