- #1
japplepie
- 93
- 0
How powerful are continued fraction representations?
From what I understand, they could be used to exactly represent some irrational numbers
So, could they represent any root of an nth degree polynomial equation?
Specially where n>4, since 5th degree roots are not guaranteed to have an algebraic representation.
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And if they do, will there be a possibility to have a quintic formula which isn't an algebraic solution, but rather an continued fraction solution
From what I understand, they could be used to exactly represent some irrational numbers
So, could they represent any root of an nth degree polynomial equation?
Specially where n>4, since 5th degree roots are not guaranteed to have an algebraic representation.
-------------------------------
And if they do, will there be a possibility to have a quintic formula which isn't an algebraic solution, but rather an continued fraction solution