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Cubic root cyclic summation (Posted on 2023-12-09) |
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Let P(x) be a polynomial of degree 3 and x1,x2,x3 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 x1+x2+x3=35.
Find the value of (x2+x3)/x1+(x1+x3)/x2+(x1+x2)/x3.
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