Home
Class 12
MATHS
If a,b,c are the roots of the equation x...

If a,b,c are the roots of the equation `x^3+px^2+qx+r=0` such that `c^2=-ab` show that `(2q-p^2)^3. r=(pq-4r)^3`.

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

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

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

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

If the roots of the equation x^(3) - px^(2) + qx - r = 0 are in A.P., then prove that, 2p^3 −9pq+27r=0

If (a)/(k),a, ak are the roots of x^(3)-px^(2)+qx-r=0 then a=

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