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

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.

25. The integer k for which the inequality x 2 -2(4k-1)x +15k 2 - 2k-7 > 0 is valid for any real x is (a) 2 (b) 3 (c) 4 (d) infinite

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

Find the values of K for which the inequality (x-3k)(x-k-3) lt 0 is satisfied for all x such that 1 le x le 3.

For what values of k , the roots of the equation x^(2) + 4x + k = 0 are real ?

The number of integral values of K the inequality |(x^2+kx+1)/(x^2+x+1)|<3 is satisfied for all real values of x is....

The number of integral values of K' the inequality |(x^2+kx+1)/(x^2+x+1)|<3 is satisfied for all real values of x is....

The number of integral values of K' the inequality |(x^2+kx+1)/(x^2+x+1)|<3 is satisfied for all real values of x is....

The number of integral values of K' the inequality |(x^2+kx+1)/(x^2+x+1)|<3 is satisfied for all real values of x is....

For what values of k does the quadratic equation 4x^(2) - 12x - k =0 have no real roots ?