Question 192 of 455MediumMCQ
The integer 'k', for which the inequality x2−2(3k−1)x+8k2−7>0 is valid for every x∈R, is Solutions · 1
Official solution
Need discriminant <0: 4(3k−1)2−4(8k2−7)<0⟹9k2−6k+1−8k2+7<0⟹k2−6k+8<0⟹(k−2)(k−4)<0⟹k∈(2,4).
The only integer in this interval is k=3. Answer the question to unlock