List questions from quartics | MathQA

Let $f(x)=\int_0^x(4t^4-at^3)dt$ and $g(x)$ be a quadratic polynomial satisfying $g(0)+6=g'(0)-c=g''(0)+2b=0$, where $a,b,c$ are positive real numbers

Published on 18 Jun 2021 - 14:56

If $\alpha$ be a multiple root of the order 3 of the equation $x⁴+bx²+cx+d=0$ then $α= 8d/3c$

Published on 06 Jul 2021 - 8:51

Solving the quartic polynomials

Published on 05 Aug 2021 - 19:19

Functions from numerical solutions

Published on 13 Aug 2021 - 13:10

Solving the equation $2x^2-\left(4x-7\right)\sqrt{x-1}-5x+4=0$

Published on 26 Aug 2021 - 9:53

If $x^4 + ax^3 + 3x^2 +bx +1\geq0$, $\forall x\in \mathbb{R}$, find maximum of $a^2+b^2$

Published on 29 Aug 2021 - 10:26

Area enclosed by bean curve

Published on 23 Feb 2026 - 22:19

Resolve: $4\sin(2x)+4\cos(x)-5=0$

Published on 13 Sep 2021 - 6:44

Solve a quartic function with three unknowns and two given roots.

Published on 15 Sep 2021 - 7:28

Solving a quadratic equation problem with two variables

Published on 19 Sep 2021 - 3:54

How to get roots in the form of a quadratic from the quartic $x^4 - 4x^2 + 16$?

Published on 15 Oct 2021 - 12:56

$S$ , $P$ are sum and product of real roots of $x^4-7x^2-5=0$ what is the value of $2P^2-3SP+2S$?

Published on 15 Oct 2021 - 21:29

How to prove $X^{4}+X^{3}+X^{2}+X+1$ is irreductible in $\mathbb{F}_{2}$

Published on 02 Nov 2021 - 20:31

How can one solve polynomial equations with constant terms that have a high number of factors?

Published on 03 Nov 2021 - 23:02

How to minimize quartic function for regularizing commutativity?

Published on 27 Mar 2026 - 4:22