http://vmath.ru/vf5/ 2026-10-13T04:37:34+0300 http://vmath.ru/vf5/ http://vmath.ru/vf5/lib/tpl/vf5/images/favicon.ico text/html 2020-11-04T23:59:19+0300 Anonymous (anonymous@undisclosed.example.com) http://vmath.ru/vf5/detse/discrime/problemse?rev=1604523559&do=diff DISCRIMINANT ---------- Problems Find the parameter value $ {\color{Red} \alpha } \in [-5,5] $ for which $$ \max_{x\in]-\infty,+\infty[} (-x^6+{\color{Red} \alpha } \,x^5+3\,x^3+5\,x^2-2\,x-1) $$ is minimal. Evaluate this minimum. Establish the validity or invalidity of the following equality $$ \mathcal D_x(\mathcal D_y (f(x,y))=\mathcal D_y(\mathcal D_x (f(x,y)) \, . $$ Here $ \mathcal D_x $ and $ \mathcal D_y $ denotes the discriminants of the polynomials treated with respect to the…