Question

roots of polynomial equation

score 247 · Answer 1 · 2026-04-12 18:11:00

247

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roots of polynomial equation

Published on 12 Apr 2026 - 18:11

score 71 · Answer 2 · 2026-04-15 14:44:50

71

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At which parameter value $c>0$ do the number of solutions of $\log(1+x^2)=x^c$ change?

Published on 15 Apr 2026 - 14:44

score 112 · Answer 3 · 2026-04-15 02:38:11

112

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Finding the roots of 4096x^3-10496x^2+152576x - 961=0 (1 root and 2 complex)?

Published on 15 Apr 2026 - 2:38

score 256 · Answer 4 · 2026-04-15 20:37:23

256

Views

Let $a,b,c \in \mathbb{R^+}$, does this inequality holds $\frac{a}{na + kb} + \frac{b}{nb+kc} + \frac{c}{nc + ka} \ge \frac{3}{k+n}$?

Published on 15 Apr 2026 - 20:37

score 64 · Answer 5 · 2026-04-08 17:09:30

64

Views

Is it possible to solve this nonlinear equation analytically?

Published on 08 Apr 2026 - 17:09

score 2.7k · Answer 6 · 2026-04-17 12:19:39

2.7k

Views

Prove that the polynomial $x^6+x^4-5x^2+1$ has at least four real roots.

Published on 17 Apr 2026 - 12:19

score 86 · Answer 7 · 2026-04-16 09:15:14

86

Views

For which $\alpha$ do the $\epsilon$-neighborhoods of $\{k\alpha \mod 1 \mid k = 1, \ldots , poly(1/\epsilon) \}$ cover $[0,1]$?

Published on 16 Apr 2026 - 9:15

score 265 · Answer 8 · 2026-04-12 12:06:07

265

Views

$n \approxeq k + 2^{2^k}(k+1)$. How can one get the value of $k(n)$ from this equation?

Published on 12 Apr 2026 - 12:06

score 1.3k · Answer 9 · 2026-04-16 07:55:38

1.3k

Views

Why doesn't $1/x=0$ have any solution?

Published on 16 Apr 2026 - 7:55

score 440 · Answer 10 · 2026-04-13 17:42:14

440

Views

Roots of some modified Bernoulli polynomials

Published on 13 Apr 2026 - 17:42

score 2.1k · Answer 11 · 2026-04-11 02:10:03

2.1k

Views

Third degree polynomial with integer coefficient and three irrational roots

Published on 11 Apr 2026 - 2:10

score 6.3k · Answer 12 · 2026-04-13 01:59:37

6.3k

Views

The Conjugate Roots Theorem for Irrational Roots

Published on 13 Apr 2026 - 1:59

score 131 · Answer 13 · 2026-04-15 18:05:31

131

Views

The largest root of $-3x^3+24x^2+6x-9=0$

Published on 15 Apr 2026 - 18:05

score 78 · Answer 14 · 2026-04-12 05:36:49

78

Views

Is there a known algorithm for approximating all the real and imaginary zeros of any well behaved equation of a single variable?

Published on 12 Apr 2026 - 5:36

score 4.4k · Answer 15 · 2026-04-17 10:27:47

4.4k

Views

Find all real zeros of $f(x)=2x^3+10x^2+5x-12$

Published on 17 Apr 2026 - 10:27

List Question

roots of polynomial equation

At which parameter value $c>0$ do the number of solutions of $\log(1+x^2)=x^c$ change?

Finding the roots of 4096x^3-10496x^2+152576x - 961=0 (1 root and 2 complex)?

Let $a,b,c \in \mathbb{R^+}$, does this inequality holds $\frac{a}{na + kb} + \frac{b}{nb+kc} + \frac{c}{nc + ka} \ge \frac{3}{k+n}$?

Is it possible to solve this nonlinear equation analytically?

Prove that the polynomial $x^6+x^4-5x^2+1$ has at least four real roots.

For which $\alpha$ do the $\epsilon$-neighborhoods of $\{k\alpha \mod 1 \mid k = 1, \ldots , poly(1/\epsilon) \}$ cover $[0,1]$?

$n \approxeq k + 2^{2^k}(k+1)$. How can one get the value of $k(n)$ from this equation?

Why doesn't $1/x=0$ have any solution?

Roots of some modified Bernoulli polynomials

Third degree polynomial with integer coefficient and three irrational roots

The Conjugate Roots Theorem for Irrational Roots

The largest root of $-3x^3+24x^2+6x-9=0$

Is there a known algorithm for approximating all the real and imaginary zeros of any well behaved equation of a single variable?

Find all real zeros of $f(x)=2x^3+10x^2+5x-12$

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