Question

Find the value of K for which the inequality x^2 - 2(4K-1)X + 15K^2 - 2K-7>0 is valid for any x. ​

Answer 1

Answer:it is very simple

Step-by-step explanation:

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