ISC

MATHEMATICS · Multi-part · ISC · Mathematics · Algebra · Algebra

Problem

Show that: (1) 2x2−4x+72x^2-4x+7 is positive definite. (2) −2x2+3x−4-2x^2+3x-4 is negative definite. (3) x2−3x+6>0x^2-3x+6>0 for all xx. (4) 4x−x2−6<04x-x^2-6<0 for all xx.

Related theory

Browse the problem library