Find the values of `k` for which `|(x^2+k x+1)/(x^2+x+1)|<2,AAx in R`

Find the value of k for which x^(2)+(k-1)x+k^(2)-16 is exactly divisible by (x-3) but not divisible by (x-4)

Find the values of k for which (2k+1)x^(2)+2(k+3)x+(k+5)=0 has real and equal roots.

Find the values of k for which (4-k)x^(2)+(2k+4)x+(8k+1)=0 has real and equal roots.

Find the value of k for which x^(2) + k(4x + k - 1) + 2 = 0 has real and equal roots.

Find the value of k for which f(x)={{:((x^(2)-2x-3)/(x+1)",","when",x ne-1, ),(lambda",", "when", x =-1):} is continuous at x =-1

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

Find the value of k for which lim_(x rarr oo)x^(k)(ln(x^(2)+2)-2ln x)(e^((1)/(x))-1) is a finite non-zero number.

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

Find the value of k for which ( x-1) is a factor of (2x^(3)+9x^(2)+x+k) .

Find the value of k for which the function f(x)={k x+5, if x lt=2x-1, if x >2} is continuous at x=2