List questions from quintics

Published on 23 Feb 2026 - 1:23

608

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Are there some methods to solve the quintic equation?

Published on 23 Feb 2026 - 1:20

68

Views

Is $x^5-10x^3+20x= 8.58368$ solvable?

Published on 23 Feb 2026 - 1:25

364

Views

Show: If some $x_i \neq x_1$ occurs as $\sigma(x_1)$ for a $\sigma \in$ Gal$ (E:F)$ then each $x_i\neq x_1$ occurs as $\sigma(x_1)$

Published on 23 Feb 2026 - 1:23

527

Views

Quintic reciprocity conjecture

Published on 23 Feb 2026 - 1:17

290

Views

Condition for Quintic Reciprocity

Published on 22 Feb 2026 - 23:33

630

Views

Number of real roots of a quintic equation

Published on 23 Feb 2026 - 1:22

119

Views

Equation with Galois group twisted $S_{3}$

Published on 23 Feb 2026 - 1:25

458

Views

Factor $x^5-x+15$

Published on 23 Feb 2026 - 1:17

94

Views

What do I need to learn, to understand Galois' solution of the quintic?

Published on 23 Feb 2026 - 1:22

439

Views

Quintic polynomial with three real roots

Published on 23 Feb 2026 - 1:18

90

Views

Is quintic equations have anything to do with their coefficients?

Published on 23 Feb 2026 - 2:56

249

Views

Is there a way to reduce a specific quintic to cubic?

Published on 23 Feb 2026 - 2:56

151

Views

How to solve for imaginary roots of a quartic that cannot be factored and has no real roots?

Published on 23 Feb 2026 - 2:59

250

Views

When is the Galois group of a quintic not $S_5$ if we use this particular method?

Published on 23 Feb 2026 - 2:59

List Question

Confirmation of Proof: $f(x)= x^5 - x - 16$ has at most three real roots.

Are there some methods to solve the quintic equation?

Is $x^5-10x^3+20x= 8.58368$ solvable?

Show: If some $x_i \neq x_1$ occurs as $\sigma(x_1)$ for a $\sigma \in$ Gal$ (E:F)$ then each $x_i\neq x_1$ occurs as $\sigma(x_1)$

Quintic reciprocity conjecture

Condition for Quintic Reciprocity

Number of real roots of a quintic equation

Equation with Galois group twisted $S_{3}$

Factor $x^5-x+15$

What do I need to learn, to understand Galois' solution of the quintic?

Quintic polynomial with three real roots

Is quintic equations have anything to do with their coefficients?

Is there a way to reduce a specific quintic to cubic?

How to solve for imaginary roots of a quartic that cannot be factored and has no real roots?

When is the Galois group of a quintic not $S_5$ if we use this particular method?

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