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Algorithms to approximate numerically a root of a nonlinear equation or system: for instance, Newton's method, secant method, bisection, etc.
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votes
Closed form roots for polynomial $x^9 + ax^6 + bx^5 + cx^3 + d = 0$
There is no way to transform your first polynomial to the special shape of the second polynomial while preserving its Galois group. The Galois group of the second polynomial is solvable, but for insta …