The integer 'k ', for which the inequality x^2-2 (3k-1 )x+8k^2-70 is valid for every x in R is:

Question

The integer 'k ', for which the inequality x^2-2 (3k-1 )x+8k^2-7>0 is valid for every x in R is:

Accepted Answer

Correct answer: A. (a) D<0 (2 (3k-1 ) )^2-4(8k^2-7)<0 4(9k^2-6k+1)-4(8k^2-7)<0 k^2-6k+8<0 (k-4)(k-2)<0 2<k<4 then k=3

$The integer ’ k ’, for which the inequality x^{2} - 2 (3 k - 1) x + 8 k^{2} - 7 > 0 is valid for every x in R is:$