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Cubic equation relation (Posted on 2023-10-04) |
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Let f(x)=x3+ax2+bx+c and g(x)=x3+bx2+cx+a, where
a,b,c are integers with c≠0. Suppose that the following conditions hold f(1)=0, the roots of g(x)=0 are the squares of
the roots of f(x)=0. Then, find the value of
a2023+b2023+c2023.
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