Nitpick: There is no closed form solution for the 5th root of a polynomial in terms of only additions, subtractions, multiplications, divisions and root extract

Nitpick: There is no closed form solution for the 5th root of a polynomial in terms of only additions, subtractions, multiplications, divisions and root extractions. This is what Galois showed. However, it can be expressed in closed form using trigonometric functions [1]. There is a summary here of the many closed form solutions that exist [2]. [1] https://math.stackexchange.com/questions/1537069/the-trigonometric-solution-to-the-solvable-demoivre-quintic/1548322#1548322 https://math.stackexchange.com/questions/1537069/the-trigono... [2] https://math.stackexchange.com/questions/1555743/how-do-you-solve-5th-degree-polynomials https://math.stackexchange.com/questions/1555743/how-do-you-...