Question

Solving $\arctan(x)+\arctan(2x)=\frac{\pi}{3}$. Why do I get an extra root?

score 660 · Answer 1 · 2026-04-06 15:57:42

660

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Solving $\arctan(x)+\arctan(2x)=\frac{\pi}{3}$. Why do I get an extra root?

Published on 06 Apr 2026 - 15:57

score 1k · Answer 2 · 2026-03-29 20:27:35

1k

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Root locus method, deriving the position of the asymptote centroid

Published on 29 Mar 2026 - 20:27

score 74 · Answer 3 · 2026-03-26 22:17:58

74

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Solving $x^3+24x^2+5x-13 = 0$

Published on 26 Mar 2026 - 22:17

score 66 · Answer 4 · 2020-05-21 12:45:31

66

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Position of roots of a polynomial after the coefficients perturbation

Published on 21 May 2020 - 12:45

score 61 · Answer 5 · 2026-03-27 02:50:54

61

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Root of nested geometric series

Published on 27 Mar 2026 - 2:50

score 76 · Answer 6 · 2020-05-22 14:19:25

76

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Can the roots of a linear combination of polynomials all have negative real part?

Published on 22 May 2020 - 14:19

score 149 · Answer 7 · 2020-05-22 16:07:03

149

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Roots of $x^n+x+1$

Published on 22 May 2020 - 16:07

score 150 · Answer 8 · 2020-05-22 18:15:24

150

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Counting the roots of $f(z)=z^4+z^3-2z^2+2z+4$

Published on 22 May 2020 - 18:15

score 44 · Answer 9 · 2020-05-22 18:18:24

44

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Prove solution to $\sum\limits_{k=1}^{\infty}\frac{x^k}{x^{2k}-2x^k+1} = 0$.

Published on 22 May 2020 - 18:18

score 119 · Answer 10 · 2020-05-23 07:02:22

119

Views

Proving that pole of infinite series "goes to" $+\infty$ or $-\infty$

Published on 23 May 2020 - 7:02

score 38 · Answer 11 · 2020-05-23 07:59:50

38

Views

Prove that pole of infinite series "explodes" to $+\infty$

Published on 23 May 2020 - 7:59

score 31 · Answer 12 · 2020-05-23 08:42:38

31

Views

Searching simple identities between power sums of roots?

Published on 23 May 2020 - 8:42

score 495 · Answer 13 · 2026-03-27 00:06:02

495

Views

Prove $\, \frac{ab}{c}+ \frac{ac}{b}+ \frac{bc}{a}\in\Bbb Z \,\Rightarrow\, \frac{ab}{c},\frac{ac}{b},\frac{bc}{a}\in\Bbb Z $

Published on 27 Mar 2026 - 0:06

score 194 · Answer 14 · 2026-04-03 07:37:55

194

Views

Numerically find the half-iterate of a quadratic

Published on 03 Apr 2026 - 7:37

score 186 · Answer 15 · 2020-05-24 14:16:06

186

Views

Improving the Cauchy's bound on the absolute values of the roots of the monic polynomial $x^n=m \times \sum_{k=0}^{n-1} x^k$

Published on 24 May 2020 - 14:16

List Question

Solving $\arctan(x)+\arctan(2x)=\frac{\pi}{3}$. Why do I get an extra root?

Root locus method, deriving the position of the asymptote centroid

Solving $x^3+24x^2+5x-13 = 0$

Position of roots of a polynomial after the coefficients perturbation

Root of nested geometric series

Can the roots of a linear combination of polynomials all have negative real part?

Roots of $x^n+x+1$

Counting the roots of $f(z)=z^4+z^3-2z^2+2z+4$

Prove solution to $\sum\limits_{k=1}^{\infty}\frac{x^k}{x^{2k}-2x^k+1} = 0$.

Proving that pole of infinite series "goes to" $+\infty$ or $-\infty$

Prove that pole of infinite series "explodes" to $+\infty$

Searching simple identities between power sums of roots?

Prove $\, \frac{ab}{c}+ \frac{ac}{b}+ \frac{bc}{a}\in\Bbb Z \,\Rightarrow\, \frac{ab}{c},\frac{ac}{b},\frac{bc}{a}\in\Bbb Z $

Numerically find the half-iterate of a quadratic

Improving the Cauchy's bound on the absolute values of the roots of the monic polynomial $x^n=m \times \sum_{k=0}^{n-1} x^k$

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