If the roots of the equation `x^(3) - px^(2) + qx - r = 0` are in A.P., then

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

If 2p^3 - 9pq + 27r = 0 then prove that the roots of the equations rx^3 - qx^2 + px - 1 = 0 are in H.P.

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

If two roots of the equation x^3 - px^2 + qx - r = 0 are equal in magnitude but opposite in sign, then:

Find the conditions if roots of the equation x^(3)-px^(2)+qx-r=0 are in (i) AP

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

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

If alpha, beta, gamma are roots of the equation x^(3) + px^(2) + qx + r = 0 , then sum (1)/(alpha beta ) =