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Cubic root cyclic summation (Posted on 20231209) 

Let P(x) be a polynomial of degree 3 and x_{1},x_{2},x_{3} are the solutions of P(x)=0.
Let (P(1/3)P(1/3))/P(0)=8, (P(1/4)P(1/4))/P(0)=9 and x_{1}+x_{2}+x_{3}=35.
Find the value of (x_{2}+x_{3})/x_{1}+(x_{1}+x_{3})/x_{2}+(x_{1}+x_{2})/x_{3}.
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