Question

Find $m,\,n$ so the equation $\left ( * \right )$ has 3 distinct non-zero real roots $a,\,b,\,c$

score 47 · Answer 1 · 2018-06-18 03:38:29

47

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Find $m,\,n$ so the equation $\left ( * \right )$ has 3 distinct non-zero real roots $a,\,b,\,c$

Published on 18 Jun 2018 - 3:38

score 509 · Answer 2 · 2018-06-20 15:24:17

509

Views

Solving $\cos(3x) = \cos(2x)$

Published on 20 Jun 2018 - 15:24

score 2.2k · Answer 3 · 2018-06-22 15:18:01

2.2k

Views

Solving the characteristic equation of a $3\times 3$ matrix to find the eigenvalues.

Published on 22 Jun 2018 - 15:18

score 234 · Answer 4 · 2018-06-27 13:20:04

234

Views

What is the inverse of $f(x) = x^3/6 - 36/x$?

Published on 27 Jun 2018 - 13:20

score 1k · Answer 5 · 2018-06-28 16:13:05

1k

Views

If $α, β, γ$ are roots of $x^3 - x -1 = 0$, then find the value of $\frac{1+α}{1-α} + \frac{1+β}{1-β} + \frac{1+γ}{1-γ}$.

Published on 28 Jun 2018 - 16:13

score 3k · Answer 6 · 2026-03-22 17:27:46

3k

Views

Is there really analytic solution to cubic equation?

Published on 22 Mar 2026 - 17:27

score 107 · Answer 7 · 2018-07-03 11:43:54

107

Views

Cubic function and values between $0$ and $255$

Published on 03 Jul 2018 - 11:43

score 181 · Answer 8 · 2018-07-04 14:18:35

181

Views

Which primes $\mathfrak{p}$ can be written as sums of two squares in $\mathbb{Q}(\sqrt[3]{2})$?

Published on 04 Jul 2018 - 14:18

score 617 · Answer 9 · 2026-03-22 15:49:10

617

Views

Applying the quadratic Tschirnhausen transformation

Published on 22 Mar 2026 - 15:49

score 79 · Answer 10 · 2018-07-09 21:37:44

For $x^3+px+q=0$, one of the solutions is $\sqrt 3-1$. Find the value of rational number $p$ and $q$, and other two solutions of the equation.

score 149 · Answer 11 · 2018-07-10 01:15:30

149

Views

Set of primes $p$ for which $x^3-4x-1$ factors completely over $GF(p)$

Published on 10 Jul 2018 - 1:15

score 516 · Answer 12 · 2026-03-21 23:20:48

516

Views

Factoring A Cubic Function

Published on 21 Mar 2026 - 23:20

score 281 · Answer 13 · 2018-07-23 10:51:00

281

Views

Square on graph of cubic

Published on 23 Jul 2018 - 10:51

score 106 · Answer 14 · 2018-07-24 17:38:27

106

Views

Roots of cubic equation -. Special type

Published on 24 Jul 2018 - 17:38

score 48 · Answer 15 · 2018-07-27 11:21:15

48

Views

The general format of the nonlinear algebraic equations of the third order

Published on 27 Jul 2018 - 11:21

List Question

Find $m,\,n$ so the equation $\left ( * \right )$ has 3 distinct non-zero real roots $a,\,b,\,c$

Solving $\cos(3x) = \cos(2x)$

Solving the characteristic equation of a $3\times 3$ matrix to find the eigenvalues.

What is the inverse of $f(x) = x^3/6 - 36/x$?

If $α, β, γ$ are roots of $x^3 - x -1 = 0$, then find the value of $\frac{1+α}{1-α} + \frac{1+β}{1-β} + \frac{1+γ}{1-γ}$.

Is there really analytic solution to cubic equation?

Cubic function and values between $0$ and $255$

Which primes $\mathfrak{p}$ can be written as sums of two squares in $\mathbb{Q}(\sqrt[3]{2})$?

Applying the quadratic Tschirnhausen transformation

For $x^3+px+q=0$, one of the solutions is $\sqrt 3-1$. Find the value of rational number $p$ and $q$, and other two solutions of the equation.

Set of primes $p$ for which $x^3-4x-1$ factors completely over $GF(p)$

Factoring A Cubic Function

Square on graph of cubic

Roots of cubic equation -. Special type

The general format of the nonlinear algebraic equations of the third order

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