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Let P(z)=z3+az2+bz+c where a,b and c are real numbers. There exists a complex number ω such that the three roots of P(z) are ω+3i,ω+9i and 2ω−4 where i2=−1. The value of |a+b+c| is

Answer» Let P(z)=z3+az2+bz+c where a,b and c are real numbers. There exists a complex number ω such that the three roots of P(z) are ω+3i,ω+9i and 2ω4 where i2=1. The value of |a+b+c| is


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