If the equation` 4x^2- 5x + k = 0` has two equal solutions. Find the value of k.

If the equation x^2+kx+k =0 has only one solufion, find the possible values of k.

If the equation 2x^(2) + (a+3)x + 8 = 0 has equal roots, then one of the values of a is

If the roots of the quadratic equation m x^(2) - n x + k = 0 are tan 33^(@) and tan 12^(@) , then the value of (2m + n + k)/(m) is equal to

If the equation x^(2) - (2 + m) x + (m^(2) - 4m + 4) = 0 in x has equal roots, then the values of m are

The value of a for which the equation 2x^(2) + 2sqrt(6) x + a = 0 has equal roots, is