If the roots of the equation `x^2 +(p+1)x + 2q - q^2+3=0` are real and unequal `AA p in R` then find the minimum integral value of `(q^2-2q)`.

If p and q are the roots of the equation x^2-p x+q=0 , then

If p and q are the roots of the equation x^(2)+p x+q=0 then

Show that the roots of the equation x^(2)+px-q^(2)=0 are real for all real values of p and q.

The roots of the equation (x-p) (x-q)=r^(2) where p,q , r are real , are

If the roots of the equation qx^2 + 2px + 2q =.0 are real and unequal then prove that the roots of the equation (p + q)x^2 + 2qx + (p - q)=0 are imaginary,

If the roots of the equation (q-r)x^(2)+(r-p)x+p-q=0 are equal, then show that p, q and r are in A.P.