If `1/2` is a root of x ^(2) + px - 5/4 =0` then value of p is

If one root of px^2 - 3x - 5 = 0 is 5/2, then the value of p is

The roots of 4x^(2)+6px+1=0 are equal, then the value of p is

If - 4 is a root of x^2 + px -4 = 0 and the equation x^2 + px + q = 0 has equal roots find p and q.

If 3 - 4i is a root of x^(2) - px + q = 0 where p, q in R . then value (2 p - q)/( p + q) is

If p, q are the roots of equation x^(2)+px+q=0, then value of p must be equal to

If -1 and 3 are the roots of x^(2)+px+q=0 , find the values of p and q.

If p and q are the roots of x^2 + px + q = 0 , then find p.

Suppose p ne q and difference between the roots of x^(2) + 2px + q = 0 is twice the difference between the roots of x^(2) + qx + (1)/(4) p = 0 then |p + q + 4| is equal to _______