Question

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

score 49 · Answer 1 · 2026-04-15 22:03:03

49

Views

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

Published on 15 Apr 2026 - 22:03

score 511 · Answer 2 · 2026-04-14 17:17:49

511

Views

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

Published on 14 Apr 2026 - 17:17

score 2.2k · Answer 3 · 2026-04-12 22:00:17

2.2k

Views

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

Published on 12 Apr 2026 - 22:00

score 237 · Answer 4 · 2026-04-14 22:16:40

237

Views

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

Published on 14 Apr 2026 - 22:16

score 1k · Answer 5 · 2026-04-16 09:48:45

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 16 Apr 2026 - 9:48

score 3k · Answer 6 · 2026-05-10 17:58:26

3k

Views

Is there really analytic solution to cubic equation?

Published on 10 May 2026 - 17:58

score 110 · Answer 7 · 2026-04-14 19:39:21

110

Views

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

Published on 14 Apr 2026 - 19:39

score 185 · Answer 8 · 2026-05-10 18:29:17

185

Views

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

Published on 10 May 2026 - 18:29

score 624 · Answer 9 · 2026-05-03 10:52:38

624

Views

Applying the quadratic Tschirnhausen transformation

Published on 03 May 2026 - 10:52

score 82 · Answer 10 · 2026-04-16 12:23:54

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 152 · Answer 11 · 2026-04-16 09:29:31

152

Views

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

Published on 16 Apr 2026 - 9:29

score 523 · Answer 12 · 2026-05-10 13:45:07

523

Views

Factoring A Cubic Function

Published on 10 May 2026 - 13:45

score 285 · Answer 13 · 2026-04-30 13:59:17

285

Views

Square on graph of cubic

Published on 30 Apr 2026 - 13:59

score 109 · Answer 14 · 2026-04-16 21:10:01

109

Views

Roots of cubic equation -. Special type

Published on 16 Apr 2026 - 21:10

score 51 · Answer 15 · 2026-04-14 20:22:30

51

Views

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

Published on 14 Apr 2026 - 20:22

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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