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

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

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:

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

The least integral value of k for which (k-2)x^(2)+8x+k+4 gt Sin^(-1)(sin12)+Cos^(-1)(cos12) for all x in R , is

Find the least integral value of 'k' for which the quadratic polynomial (k-1)x^(2) + 8x + k + 5 gt 0 AA x in R

If f(x)=(x-a)(x-b), then show that f(x)>=-((a-b)^(2))/(4). Find the least integral value of 'k' for which the quadratic polynomial

The sum of all possible integral value of 'k' for which 5x ^(2) -2k x +1lt 0 has exactly one integral solution :

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 ?

What is the smallest integral value oof k for which the roots 3x^(2)+8x-k=0 are real?