If one root of the equation `x^2+px+q=0` is the square of the other then

If one root of the equation x^(2) + px + q = 0 is square of the other root, then :

Under what condition on p and q, one of the roots of the equation x^(2) + px + q = 0 is the square of the other?

If one root of the equations x^(2) + px +q=0 is 3 times the other , prove that 3p^(2) = 16q.

The sum of the roots of the equation x^2+ px + q= 0 is equal to the sum of their squares, then

If one root of the equation x^2 - px + q = 0 be twice the other, show that 2p^2 = 9q

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 , are the squares of the roots of the equation qx^(2)+px+r=0 , then q, p, r are in:

IF 3+ 4i is a root of the equation x^2 +px +q=0 then

3+4i is a root of the equation x^(2)+px+q=0 then

If one root of the equation x^2 +px+ 12 = 0 be 4 and if the roots of the equation x^2 + px + q = 0 be equal, find q