Home
Class 12
MATHS
If alpha, beta and gamma are the roots o...

If `alpha, beta and gamma` are the roots of the equation `x^(3)-13x^(2)+15x+189=0` and one root exceeds the other by 2, then the value of `|alpha|+|beta|+|gamma|` is equal to

A

23

B

17

C

13

D

19

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

Solve the equation x^3-13 x^2+15 x+189=0 if one root exceeds the other by 2.

If alpha , beta , gamma are the roots of the equation x^3 -6x^2 +11 x +6=0 then sum alpha^2 beta =

Let alpha, beta and gamma are the roots of the equation 2x^(2)+9x^(2)-27x-54=0 . If alpha, beta, gamma are in geometric progression, then the value of |alpha|+|beta|+|gamma|=

If alpha , beta , gamma are the roots of the equation x^3 +4x^2 -5x +3=0 then sum (1)/( alpha^2 beta^2)=

If alpha, beta and gamma are the roots of the equation x^(3)-px^(2)+qx-r=0 , then the value of (alphabeta)/(gamma)+(betagamma)/(alpha)+(gammaalpha)/(beta) is equal to

If alpha , beta , gamma are the roots of the equation x^3 +px^2 +qx +r=0 then sum alpha^2 ( beta + gamma)=

If alpha, beta and gamma are the roots of the equation x^(3) + 3x^(2) - 24x + 1 = 0 then find the value of (3sqrt(alpha)+3sqrt(beta)+ 3sqrt(gamma)).

If alpha, beta and gamma are three ral roots of the equatin x ^(3) -6x ^(2)+5x-1 =0, then the value of alpha ^(4) + beta ^(4) + gamma ^(4) is:

If alpha, beta, gamma, are the roots of the equation x^(3)+3x-1=0, then equation whose roots are alpha^(2),beta^(2),gamma^(2) is

If alpha, beta and gamma are the roots of the equation x^(3) + px + q = 0 (with p != 0 and p != 0 and q != 0 ), the value of the determinant |(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)| , is