Find the values of `k` for which the equation `x^2-4x+k=0` has distinct real roots.

Find the value of k for which the equation 3x^(2)-6x+k=0 has distinct and real root.

Find the value of k for which the equation x^2 −6x+k=0 has distinct roots.

Find the values of k for which the equation x^2+5k x+16=0 has no real roots.

Find the values of k for which the equation x^(2)+5kx+16=0 has no real roots.

Find the value of k for which the quadratic equations 9x^(2) - 24x+ k=0 has equal roots.

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

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

Find the value (p) of k for which the equation x^(2) +5kx +16=0 has real and equal roots.

The number of values of 'k' for which the equation x^(2) - 3x + k = 0 has two distinct roots lying in the interval (0,1) is :