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Help finding the roots in a trigonometric function

score 32 · Answer 1 · 2026-02-23 10:41:51

32

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Help finding the roots in a trigonometric function

Published on 23 Feb 2026 - 10:41

score 81 · Answer 2 · 2026-03-25 12:54:21

81

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Smallest root of a given polynomial when the degree tends to infinity

Published on 25 Mar 2026 - 12:54

score 307 · Answer 3 · 2020-03-18 17:42:31

307

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Powers of roots in terms of polynomial coefficients

Published on 18 Mar 2020 - 17:42

score 286 · Answer 4 · 2026-04-02 12:38:49

286

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Find the sum of maximum value of $x_1$ and minimum value of $x_2$ for the following given data.

Published on 02 Apr 2026 - 12:38

score 3.6k · Answer 5 · 2026-03-26 01:04:48

3.6k

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The equation $x^4-2x^3-3x^2+4x-1=0$ has four distinct real roots $x_1,x_2,x_3,x_4$ such that $x_1<x_2<x_3<x_4$ and product of two roots is unity.

Published on 26 Mar 2026 - 1:04

score 56 · Answer 6 · 2020-03-20 00:40:55

56

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What are the root of this polynomial which has no real roots

Published on 20 Mar 2020 - 0:40

score 49 · Answer 7 · 2020-03-20 15:56:02

49

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Show the number of roots of the solution of the differential equation $y''+\left(\frac{k}{x^2}\right)y=0$ is a function of $k$

Published on 20 Mar 2020 - 15:56

score 4.1k · Answer 8 · 2026-03-26 19:01:56

4.1k

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Prove that if $2a^3 + 27c = 9ab,$ then the roots of $x^3 + ax^2 + bx + c = 0$ form an arithmetic sequence.

Published on 26 Mar 2026 - 19:01

score 352 · Answer 9 · 2020-03-21 12:14:52

352

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The number of roots of a real polynomial function : why is " counting multiplicities" important ? ( Richard Delaware's College Algebra Lessons)

Published on 21 Mar 2020 - 12:14

score 495 · Answer 10 · 2020-03-22 11:04:37

495

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Zeros of the derivative of a function are real

Published on 22 Mar 2020 - 11:04

score 56 · Answer 11 · 2026-03-27 00:10:22

56

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Exponential decay of coefficients of the reciprocal of a polynomial

Published on 27 Mar 2026 - 0:10

score 111 · Answer 12 · 2020-03-23 14:50:20

111

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Same roots as coefficients in quadratic equation.

Published on 23 Mar 2020 - 14:50

score 340 · Answer 13 · 2020-03-23 20:51:18

340

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Polynomial scaling for numeric root finding

Published on 23 Mar 2020 - 20:51

score 53 · Answer 14 · 2020-03-25 02:20:54

53

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Find the vertices of a square of center $0$ knowing that one of them is $(3,4)$ using Complex analysis

Published on 25 Mar 2020 - 2:20

score 1.6k · Answer 15 · 2020-03-25 13:20:31

1.6k

Views

Methods of polynomial scaling

Published on 25 Mar 2020 - 13:20

List Question

Help finding the roots in a trigonometric function

Smallest root of a given polynomial when the degree tends to infinity

Powers of roots in terms of polynomial coefficients

Find the sum of maximum value of $x_1$ and minimum value of $x_2$ for the following given data.

The equation $x^4-2x^3-3x^2+4x-1=0$ has four distinct real roots $x_1,x_2,x_3,x_4$ such that $x_1<x_2<x_3<x_4$ and product of two roots is unity.

What are the root of this polynomial which has no real roots

Show the number of roots of the solution of the differential equation $y''+\left(\frac{k}{x^2}\right)y=0$ is a function of $k$

Prove that if $2a^3 + 27c = 9ab,$ then the roots of $x^3 + ax^2 + bx + c = 0$ form an arithmetic sequence.

The number of roots of a real polynomial function : why is " counting multiplicities" important ? ( Richard Delaware's College Algebra Lessons)

Zeros of the derivative of a function are real

Exponential decay of coefficients of the reciprocal of a polynomial

Same roots as coefficients in quadratic equation.

Polynomial scaling for numeric root finding

Find the vertices of a square of center $0$ knowing that one of them is $(3,4)$ using Complex analysis

Methods of polynomial scaling

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