Question

Is it possible to represent a root as a simple rational function with an exponent?

score 40 · Answer 1 · 2026-04-08 17:04:20

40

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Is it possible to represent a root as a simple rational function with an exponent?

Published on 08 Apr 2026 - 17:04

score 2.2k · Answer 2 · 2026-04-07 12:05:58

2.2k

Views

Finding roots of Equation involving trig. functions.

Published on 07 Apr 2026 - 12:05

score 303 · Answer 3 · 2026-04-09 12:38:25

303

Views

Pth Root of Polynomial Over Finite Fields for Yun's Algorithm

Published on 09 Apr 2026 - 12:38

score 296 · Answer 4 · 2026-04-15 06:12:41

296

Views

$f(g(h(x)))=0$ has $8$ real roots

Published on 15 Apr 2026 - 6:12

score 1.2k · Answer 5 · 2026-04-17 08:36:27

1.2k

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If $ 3x^2 + 2\alpha xy + 2y^2 + 2ax - 4y + 1 $ can be resolved into two linear factors, then prove the following.

Published on 17 Apr 2026 - 8:36

score 467 · Answer 6 · 2026-04-16 01:33:05

467

Views

Proving Sum of Roots is Zero

Published on 16 Apr 2026 - 1:33

score 66 · Answer 7 · 2026-04-16 04:01:51

66

Views

Roots (Algebra)

Published on 16 Apr 2026 - 4:01

score 645 · Answer 8 · 2026-05-01 01:52:43

645

Views

roots of Padé approximating polynomials to the exponential function

Published on 01 May 2026 - 1:52

score 92 · Answer 9 · 2026-04-13 05:56:19

92

Views

$\tan(\alpha)=\alpha$ has not complex roots?

Published on 13 Apr 2026 - 5:56

score 194 · Answer 10 · 2026-04-12 20:49:19

194

Views

How to solve in radicals this family of equations for any degree $k$?

Published on 12 Apr 2026 - 20:49

score 159 · Answer 11 · 2026-04-17 12:22:39

159

Views

Factoring the quartic $\left(x^{2}+x-1\right)\left(x^{2}+2x-1\right)-2sx\left(2x-1\right)^{2}$

Published on 17 Apr 2026 - 12:22

score 270 · Answer 12 · 2026-04-16 03:24:41

270

Views

solving a series of nonlinear equations for the zeros of Bessel polynomials

Published on 16 Apr 2026 - 3:24

score 561 · Answer 13 · 2026-04-09 07:04:29

561

Views

Using substitution in complex equation

Published on 09 Apr 2026 - 7:04

score 130 · Answer 14 · 2026-04-15 15:32:29

130

Views

residue equation for the denominator in a Padé approximant for $e^{-x}$

Published on 15 Apr 2026 - 15:32

score 2.9k · Answer 15 · 2026-05-03 02:03:33

2.9k

Views

Roots of the Chebyshev polynomials of the second kind.

Published on 03 May 2026 - 2:03

List Question

Is it possible to represent a root as a simple rational function with an exponent?

Finding roots of Equation involving trig. functions.

Pth Root of Polynomial Over Finite Fields for Yun's Algorithm

$f(g(h(x)))=0$ has $8$ real roots

If $ 3x^2 + 2\alpha xy + 2y^2 + 2ax - 4y + 1 $ can be resolved into two linear factors, then prove the following.

Proving Sum of Roots is Zero

Roots (Algebra)

roots of Padé approximating polynomials to the exponential function

$\tan(\alpha)=\alpha$ has not complex roots?

How to solve in radicals this family of equations for any degree $k$?

Factoring the quartic $\left(x^{2}+x-1\right)\left(x^{2}+2x-1\right)-2sx\left(2x-1\right)^{2}$

solving a series of nonlinear equations for the zeros of Bessel polynomials

Using substitution in complex equation

residue equation for the denominator in a Padé approximant for $e^{-x}$

Roots of the Chebyshev polynomials of the second kind.

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