p, q, r and s are integers. If the A.M. of the roots of `x^(2) - px + q^(2) = 0` and G.M. of the roots of `x^(2) - rx + s^(2) = 0` are equal, then

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

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

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

Show that A.M. of the roots of x^(2) - 2ax + b^(2) = 0 is equal to the G.M. of the roots of the equation x^(2) - 2b x + a^(2) = 0 and vice- versa.

If the ratio of the roots of x^(2)+px+q=0 be equul to the ratio of the roots of x^(2)+lx+m=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

If a + b ne 0 and the roots of x^(2) - px + q = 0 differ by -1, then p^(2) - 4q equals :

If alpha, beta are the real roots of x^(2) + px + q= 0 and alpha^(4), beta^(4) are the roots of x^(2) - rx + s = 0 , then the equation x^(2) - 4 q x + 2q^(2) - r = 0 has always