Home
Class 12
MATHS
If alpha, beta, gamma are the roots of x...

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

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

If alpha beta gamma are the roots of x^3+x^2-5x-1=0 then alpha+beta+gamma is equal to

If alpha,beta,gamma are the roots of x^(3)+2x^(2)+3x+8=0 then (alpha+beta)(beta+gamma)(gamma+alpha)=

If alpha beta gamma are roots of x^(3)+x^(2)-5x-1=0 then alpha + beta + gamma is equal to

If alpha, beta, gamma are the roots of x^(3) + ax^(2) + b = 0 , then the value of |(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)| , is

If alpha, beta, gamma are the roots of ax ^ (3) + bx ^ (2) + cx + d = 0 and det [[alpha, beta, gammabeta, gamma, alphagamma, alpha, beta]] = 0, alpha ! = beta! = gamma, alpha + beta-gamma, beta + gamma-alpha, and gamma + alpha-beta

If alpha,beta,gamma are the roots of x^(3)-2x^(2)+3x-4=0 then the value of alpha^(2)beta^(2)+beta^(2)gamma^(2)+gamma^(2)alpha^(2) is

If alpha, beta, gamma are the cube roots of 8 , then |(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)|=