Find the roots `alpha, beta, gamma,` of `x^3-11 x^2+36 x-36=0if2/beta=1/alpha+1/gamma.`

Find the roots alpha,beta,gamma, of x^(3)-11x^(2)+36x-36=0 if (2)/(beta)=(1)/(alpha)+(1)/(gamma)

If alpha, beta, gamma are roots of x^(3)-2x^(2)+7x-1=0 then the value of (alpha+beta-gamma) (beta+gamma-alpha) (alpha+gamma-beta)

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 the equation 2x^(3)-5x^(2)+3x-1=0, then (1)/(alpha beta)+(1)/(beta gamma)+(1)/(gamma alpha) is

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

If alpha, beta, gamma are the roots of the cubic x^(3)-px^(2)+qx-r=0 Find the equations whose roots are (i) beta gamma +1/(alpha), gamma alpha+1/(beta), alpha beta+1/(gamma) (ii) (beta+gamma-alpha),(gamma+alpha-beta),(alpha+beta-gamma) Also find the valueof (beta+gamma-alpha)(gamma+alpha-beta)(alpha+beta-gamma)

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

alpha,beta, gamma roots of 4x^(3)+8x^(2)-x-2=0 then value of (4(alpha+1)(beta+1)(gamma+1))/(alpha beta gamma)