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Tyma Gaidash has recently posted solutions to some quintics in terms of Inverse Beta Regularized function. He also found the closed form for the equation $\cos x=x$ using the same Inverse Beta Regularized function.

So, the question is: can a general quintic be solved in terms of this function?

We know that the quintics that cannot be solved by radicals cannot be solved by elementary functions and that much more quintics can be solved in terms of Bring radicals.

IV_
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Anixx
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  • Why is the downvote? – Anixx May 24 '22 at 16:57
  • I guess the downvote was because you hadn't written your own trials and experience. Therefore I added this part to your question. (I wasn't the downvoter). – IV_ Jun 04 '22 at 12:37
  • This question is also asked on MathOverflow: https://mathoverflow.net/questions/422922/can-a-general-quintic-be-solved-using-inverse-beta-regularized-function – IV_ Jun 05 '22 at 11:41

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