The roots of the equation `x^2 +(p+2) x +2p= 0` are distinct integers when -

The roots of the equation (p - 2)x^2 + 2(p - 2)x+ 2 =0 are not real when-

Let p be an integer such that both roots of the equation 5x^(2)-5px+(66p-1)=0 are positive integers.Find the value of p

Roots of the equations x^(2)+x(2-p^(2))-2p^(2)=0 are

The roots of the equation px^(2) - 2(p + 2) x + 3p = 0 differ by 2 Find p and also the roots.

If the roots of the equation q^2 x^2 + p^2 x + r^2 =0 are the squares of the roots of the equation qx^2 + px + r=0 , then p,q,r are in ………………….. .

If p is real, discuss the nature of the roots of the equation 4x^2+4px+p+2=0 , in terms of p.