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

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

Find the value of k for which f(x)={(2x+k,0lexle 1),(3x, x>1):}, "" is continuous at x=1

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 (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 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 ( cos x + sin x) ""^2 + k sin x cos x-1=0 is an identity

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