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A question about algebraic numbers using Mathematica


I want to find the inverse of 2 - r in Q[r] where r is a root of the equation
x^4 - 2c x^3 + (c^2 - 2a^2) x^2 + 2a^2 c x - a^2 c^2 = 0 for a, b and c integers.

Can this be done for general a, b and c? (I know how to do it for specific given numerical values of a, b and c.)

Kent Holing


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