New posts in roots

How to solve Kepler's equation $M=E-\varepsilon \sin E$ for $E$?

How to find all roots of the quintic using the Bring radical

Prove that $a^2 + b^2 \geq 8$ if $ x^4 + ax^3 + 2x^2 + bx + 1 = 0 $ has at least one real root.

Roots of Legendre Polynomial

Is there a pattern to the roots of continued-fraction equations with depth $n$?

Using Vieta's theorem for cubic equations to derive the cubic discriminant

Proof the Legendre polynomial $P_n$ has $n$ distinct real zeros

Show that the equation $\tan x = −x$ has a single root on the interval $(\frac{-\pi}{2}, \frac{\pi}{2})$.

Cubic formula gives the wrong result (triple checked)

closed-form expression for roots of a polynomial

Why does Wolfram Alpha say the roots of a cubic involve square roots of negative numbers, when all three roots are real?

Prove that there exists $n\in\mathbb{N}$ such that $f^{(n)}$ has at least n+1 zeros on $(-1,1)$

What is $\lim\limits_{n\to\infty} (\text j_{x,x}-\text y_{x,x})$ with the BesselYZero and BesselJZero function?

Influence of small constant term on roots of polynomial

Function with no roots

Solve $\sin(z) = z$ in complex numbers

Prove that $\cos(\pi/7)$ is root of equation $8x^3-4x^2-4x+1=0$

Pterodactyl and Archeopteryx: Silent P vs Voiced P

Do $3/8$ (37.5%) of Quadratics Have No $x$-Intercepts?

Countability of the zero set of a real polynomial