alexa Semi Analytical Approach for Establishing the Two Real Roots of Sextic Polynomial

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Semi Analytical Approach for Establishing the Two Real Roots of Sextic Polynomial

For a long time, solutions of polynomial equations of higher order have been dealt with either graphically or analytically [1]. The works of Abel and Galois have shown that the general polynomial equations of degree higher than the fourth cannot be solved in radicals [2]. While Abel published the proof of impossibility of solving these equations (Abel's impossibility theorem), Galois gave a more rigorous proof using the group theory.

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