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Cubic equation relation (
Posted on 20231004
)
Let f(x)=x
^{3}
+ax
^{2}
+bx+c and g(x)=x
^{3}
+bx
^{2}
+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
a
^{2023}
+b
^{2023}
+c
^{2023}
.
No Solution Yet
Submitted by
Danish Ahmed Khan
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Subject
Author
Date
Analytic solution
Larry
20231004 16:21:16
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