Let `x_1, x_2, x_3` be the roots of equation `x^3-x^2+beta x+gamma=0`. If , `x_1,x_2,x_3` are in A.P. then

Let x_(1),x_(2),x_(3) bet the roots of equation x^(3) - x^(2) +betax + gamma = 0 If x_(1),x_(2),x_(3) are in A. P ., then

The real numbers x_1, x_2, x_3 satisfying the equation x^3-x^2+beta x+gamma=0 are in A.P. Find the intervals in which beta and gamma lie.

Let x_1, x_2, x_3 satisfying the equation x^3 - x^2 + betax + gamma = 0 are in GP where (x_1, x_2, x_3 > 0) , then the maximum value of [beta] + [gamma] + 2 is, [.] is greatest integer function.

Let x_1 , x_2 , be the roots of the equation x^2 - 3x +p=0 and let x_3 , x_4 be the roots of the equation x^2 - 12 x + q =0 if the numbers x_1 , x_2 , x_4 ( in order ) form an increasing G.P then

The real numbers x_1, x_2, x_3 satisfying the equation x^3-x^2+b x+gamma=0 are in A.P. Find the intervals in which beta and gamma lie.

The real numbers x_1, x_2, x_3 satisfying the equation x^3-x^2+b x+gamma=0 are in A.P. Find the intervals in which beta and gamma lie.

The real numbers x_1, x_2, x_3 satisfying the equation x^3-x^2+b x+gamma=0 are in A.P. Find the intervals in which beta and gamma lie.

Let x_(1), x_(2) be the roots of the equation x^(2)-3 x+p=0 and let x_(3), x_(4) be the roots of the equation x^(2)-12 x+q=0 . If the numbers x_(1), x_(2) x_(3), x_(4) (in order) form an increasing G.P. then,

Let x_(1),x_(2),x_(3) satisfying the equation x^(3)-x^(2)+beta x+gamma=0 are in GP where (x_(1),x_(2),x_(3)>0), then the maximum value of [beta]+[gamma]+2 is,[.] is greatest integer function.