New posts in Discriminant

Ramification in a splitting field

Prove that for all positives $a, b$ and $c$, $(\sum_{cyc}\frac{c + a}{b})^2 \ge 4(\sum_{cyc}ca)(\sum_{cyc}\frac{1}{b^2})$.

Given that $x_1, x_2, x_3$ are the roots of the polynomial $x^3-2x^2+3x+5=0$ find $(x_2-x_1)^2(x_3-x_1)^2(x_3-x_2)^2$.

Problem in a question concerning Geometric progression and quadratic equations

Find maximum value of $\frac xy$

$x^2+y^2=1$, find min/max of $(3x+2y)^2+(x+2y)^2$

Why does the discriminant in the Quadratic Formula reveal the number of real solutions?

Why discriminant of a polynomial is so special?

Discriminant of the depressed cubic

What is the essence of the constant factor in the standard definitions of the discriminant?