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

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

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

If the roots of the equation,x^(3)+px^(2)+qx-1=0 form an increasing G.P.wherep and qare real,then

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

If the roots of the equation x^(3)+3px^(2)+3qx-8=0 are in a Geometric progression then (q^(3))/(p^(3))=

If sin alpha and cos alpha are the roots of the equation px^(2) +qx+r = 0,then

If the roots of the equation px^(2)+qx+r=0 are in the ratio l:m then

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 :