If \( \frac{C_{0}}{1}+\frac{C_{1}}{2}+\frac{C_{2}}{3}=0 \), where \( C_{0}, C_{1} C_{2} \) are a...
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If \( \frac{C_{0}}{1}+\frac{C_{1}}{2}+\frac{C_{2}}{3}=0 \), where \( C_{0}, C_{1} C_{2} \) are all real, then the quadratic equation \( C_{2} x^{2}+C_{1} x+C_{0}=0 \) has
(A) at least one root in \( (0,1) \)
(B) one root in \( (1,2) \) and the other in \( (3,4) \)
(C) one root in \( (-1,1) \) and the other in \( (-5,-2) \)
(D) both roots imaginary
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