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Cubic equation relation (Posted on 2023-10-04) Difficulty: 3 of 5
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.

No Solution Yet Submitted by Danish Ahmed Khan    
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  Subject Author Date
SolutionAnalytic solutionLarry2023-10-04 16:21:16
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