Question

Find real parts of the complex roots of this $9^{th}$ order polynomial in explicit form

score 346 · Answer 1 · 2026-03-29 03:36:50

346

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Find real parts of the complex roots of this $9^{th}$ order polynomial in explicit form

Published on 29 Mar 2026 - 3:36

score 5.8k · Answer 2 · 2026-04-19 16:48:33

5.8k

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The roots of the equation $x^2 - 6x + 7 = 0$ are $α$ and $β$. Find the equation with roots $α + 1/β$ and $β + 1/α$.

Published on 19 Apr 2026 - 16:48

score 288 · Answer 3 · 2026-04-16 21:10:04

288

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Roots of $y=x^3+x^2-6x-7$

Published on 16 Apr 2026 - 21:10

score 312 · Answer 4 · 2026-04-16 13:10:35

312

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The other $47$ roots of the minimal polynomial for $\cos 1 ^\circ$

Published on 16 Apr 2026 - 13:10

score 6.8k · Answer 5 · 2026-04-19 16:32:50

6.8k

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Solving $2x^4+x^3-11x^2+x+2 = 0$

Published on 19 Apr 2026 - 16:32

score 61 · Answer 6 · 2026-04-09 05:57:06

61

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Which is bigger and how to check?

Published on 09 Apr 2026 - 5:57

score 2.4k · Answer 7 · 2026-04-19 16:48:33

2.4k

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Show the roots of the quadratic equation $z^2 +bz+ c = 0$ lie in or on the unit circle

Published on 19 Apr 2026 - 16:48

score 4.9k · Answer 8 · 2026-04-07 09:35:09

4.9k

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Are minimizing a function and root finding the same?

Published on 07 Apr 2026 - 9:35

score 54 · Answer 9 · 2026-04-09 16:16:48

54

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Factoring polynomials when roots are external to the ring

Published on 09 Apr 2026 - 16:16

score 40 · Answer 10 · 2026-04-10 02:26:48

40

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Iteration: Approximation and Errors, finding all possible iterative arrangements

Published on 10 Apr 2026 - 2:26

score 1.4k · Answer 11 · 2026-04-14 09:06:18

1.4k

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Only five solvable quintic equations of the form $x^5+ax^2+b=0$? What are their solutions?

Published on 14 Apr 2026 - 9:06

score 145 · Answer 12 · 2026-04-16 19:10:23

145

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Find the algebric form of the zeros(roots) of the following polynomial: $\left(\:z^2+iz+2\right)\left(z^3-8i\right)$

Published on 16 Apr 2026 - 19:10

score 254 · Answer 13 · 2026-04-16 06:58:33

254

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A solvable quintic with the root $x=(\sqrt[5]{p}+\sqrt[5]{q})^5$ - what are the other roots?

Published on 16 Apr 2026 - 6:58

score 670 · Answer 14 · 2026-04-14 08:47:12

670

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Symmetric roots of polynomial

Published on 14 Apr 2026 - 8:47

score 227 · Answer 15 · 2026-04-16 15:51:58

227

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'Strange' trigonometric roots of $x^5-4x^4+2x^3+5x^2-2x-1$ - could someone explain?

Published on 16 Apr 2026 - 15:51

List Question

Find real parts of the complex roots of this $9^{th}$ order polynomial in explicit form

The roots of the equation $x^2 - 6x + 7 = 0$ are $α$ and $β$. Find the equation with roots $α + 1/β$ and $β + 1/α$.

Roots of $y=x^3+x^2-6x-7$

The other $47$ roots of the minimal polynomial for $\cos 1 ^\circ$

Solving $2x^4+x^3-11x^2+x+2 = 0$

Which is bigger and how to check?

Show the roots of the quadratic equation $z^2 +bz+ c = 0$ lie in or on the unit circle

Are minimizing a function and root finding the same?

Factoring polynomials when roots are external to the ring

Iteration: Approximation and Errors, finding all possible iterative arrangements

Only five solvable quintic equations of the form $x^5+ax^2+b=0$? What are their solutions?

Find the algebric form of the zeros(roots) of the following polynomial: $\left(\:z^2+iz+2\right)\left(z^3-8i\right)$

A solvable quintic with the root $x=(\sqrt[5]{p}+\sqrt[5]{q})^5$ - what are the other roots?

Symmetric roots of polynomial

'Strange' trigonometric roots of $x^5-4x^4+2x^3+5x^2-2x-1$ - could someone explain?

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