Show that the roots of the equation
`x^3 +px^2 +qx +r=0` are in
G.P ` p^3 r= q^3`

Show that the roots of the equation x^3 +px^2 +qx +r=0 are in H.P 2p^3 =9r (pq-3r)

Show that the roots of the equation x^3 +px^2 +qx +r=0 are in A.P 2p^3 - 9 pq + 27 r=0

show that the condition that the roots of x^3 + px^2 + qx +r=0 may be in G.P is p^3 r=q^3

If 2, 3 are the roots of the equation 2x^(3) + px^(2) - 13x + q = 0, then (p , q) =

The condition that the roots of x^(3) + 3px^(2) + 3qx + r = 0 may be in G.P is

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

If alpha , beta , gamma are the roots of the equation x^3 - px^2 + qx +r=0 then ( alpha + beta ) ( beta + gamma) ( gamma + alpha)=

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

Given that roots of x^3+3px^2+3qx+r=0 are in G.P. show that p^3 r=q^3

show that the condition that the roots of x^3 + 3 px^2 + 3 qx +r=0 may be in h.P is 2q^3=r (3 pq -r)