+0  
 
0
41
1
avatar

Find all real numbers K such that the inequality x^2 - 2(4K-1)x + 15K^2 - 2K- 7> 0 holds for all real x.

 Jun 21, 2021
 #1
avatar+67 
0

Given is a quadratic xpression which is greater than equal to 0, thus, D = b^2-4ac <0
(2(4k-1))^2 - 4(15k^2-2k-7)<0
k^2-6k+8<0
(k-2)(k-4)<0
Thus, 2 or, k=3
 

;)

 Jun 21, 2021

21 Online Users

avatar
avatar