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

The integer k for which the inequality x^(2) - 2(4k-1)x + 15k^(2) - 2k - 7 gt 0 is valid for any x is :

25. The integer k for which the inequality x^2 -2(4k 1)x 15k 2k-7 0 is valid for any real x is (2) 3 (3) 4 (4) 5

The number of integral values of k for which the inequality x^(2)-2(4k-1)x+15k^(2)-2k-7 ge0 hold for x in R are _____________

Find all values of k for which the inequality, 2x^(2)-4k^(2)x-k^(2)+1gt0 is valid for all real x which do not exceed unity in the absolute value.

For what values of k is the inequality x^(2)-(k-3)x-k+6>0 valid for all real x?

The sum of all the integral value(s) of k in[0,15] for which the inequality 1+log_(5)(x^(2)+1)<=log_(5)(kx^(2)+4x+k) is true for all x in R, is

Integral value of k for which x^2-2(3k-1)x+8k^2-7 gt 0