If the roots of `x^3-42x^2+336x-512=0`, are in increasing geometric progression, then its common ratio is

If roots of equation 8x^(3)-14x^(2)+7x-1=0 are in geometric progression,then toots are

If the roots of 10x^(3)-cx^(2)-54x-270 are in harmonic progression,then find c and all the roots.

If p^("th"), 2p^("th") and 4p^("th") terms of an arithmetic progression are in geometric progression, then the common ratio of the geometric progression is

If the roots of the equation x^5-40x^(4)-px^(3)+Qx^2-Rx-S=0 are in geometric progression and the sum of the reciprocals of the roots is 10,then |S|=

If the 2^(nd),5^(th) and 9^(th) terms of a non-constant arithmetic progression are in geometric progession, then the common ratio of this geometric progression is

If the roots of the equation 7x^(3)-4x^(2)+k=0 are in arithmatic progression then find the value of k

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

If the roots of the equation 10x^(3)-cx^(2)-54x-27=0 are in harmonic progression the value of c is

Three numbers are in an increasing geometric progression with common ratio r. If the middle number is doubled, then the new numbers are in an arithmetic progression with common difference d. If the fourth term of GP is 3 r^(2) , then r^(2) - d is equal to :