Sextic equation

A sextic equation is a polynomial equation of degree six, which can be expressed in the general form: \[ a x^6 + b x^5 + c x^4 + d x^3 + e x^2 + f x + g = 0 \] where \( a, b, c, d, e, f, \) and \( g \) are coefficients and \( a \neq 0 \) (to ensure that the equation is indeed of degree