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

Find the number of integral values of k for which x^2+2(k+1)x+(k^2+4k-2)=0 has equal roots.

The least integral value of 'k' for which (k-1) x ^(2) -(k+1) x+ (k+1) is positive for all real value of x is:

Find the number of positive integral values of k for which kx ^(2) +(k-3)x+1 lt 0 for atleast one positive x.

The least integral value of 'k' for which (k -2)x^2 +8x+k+4>0 for all xepsilonR, is:

Find the values of k for which (k+1)x^(2)-2(3k+1)x+8k+1=0 has real and equal roots.

What is the least integral value of k for which the equation x^(2) - 2(k-1)x + (2k+1)=0 has both the roots positive ?

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 _____________

The sum of integral values of k for which the equations (k-12)x^(2)+2(k-12)x+2=0 possess no real roots is

If a,b are the roots of the equation x^(2)-2kx+k^(2)-1=0 then the largest integral value of k for which a,b in(-2,4) is