Home
Class 11
MATHS
[" The three roots of equation "x^(4)-px...

[" The three roots of equation "x^(4)-px^(3)+qx^(2)-rx+s=0," where "p,q,r,s in R" and "s<0" are tan "A,tan B" and tan "C],[" where "A,B,C" are angles of a triangle.Then the fourth root of the equation can be equal to: "]

Promotional Banner

Similar Questions

Explore conceptually related problems

three roots of the equation x^(4)-px^(3)+qx^(2)-rx+s=0 are tan A,tan B and tan C when A,B,C are the angle of a triangle,the fourth root of the biquadratic 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 :

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

Prove that the sum of any two of the roots of the equation x^4 -px^3 +qx^2 -rx +s =0 is equal to the sum of the remaining two roots of the equation iff p^3 -4pq +8r =0

If 3+4i is a root of equation x^(2)+px+q=0 where p, q in R then

If 3+4i is a root of equation x^(2)+px+q=0 where p, q in R then

Prove that the sum of any two of the roots of the equation x^4 +px^3 +qx^2 +rx +s =0 is equal to the sum of the remaining two roots of the equation iff p^3 -4pq +8r =0