If the roots of the equation, `x^3 + px^2+qx-1 = 0` form an increasing` G.P.` where` p` and `q `are real,then

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

Find the condition that the equation x^3 - px^2 + qx -x = 0 should have its roots in G.P.

What is the condition that the roots of the equation x^3+ px^2 + qx + r = 0 are in G.P.

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 2+isqrt3 be a root of the equation x^(2) + px + q =0 , where p and q are real, then find p and q

If the roots of the equation px ^(2) +qx + r=0, where 2p , q, 2r are in G.P, are of the form alpha ^(2), 4 alpha-4. Then the value of 2p + 4q+7r is :

If the roots of the equation px ^(2) +qx + r=0, where 2p , q, 2r are in G.P, are of the form alpha ^(2), 4 alpha-4. Then the value of 2p + 4q+7r is :