Given that `y=sqrt(((x+1)(x-3))/(x-2))` and all the real values of `x` for which `y` takes real values is `[alpha, beta)uu[gamma, oo)` then `gamma + beta- alpha`

If p''(x) has real roots alpha,beta,gamma . Then , [alpha]+[beta]+[gamma] is

If alpha,beta,gamma are cube roots of of p<0 then for any real x,y,z;(x alpha+y beta+z gamma)/(x beta+y gamma+z alpha)=

If alpha,beta,gamma are the cube roots of p then for any x,y and z(x alpha+y beta+z gamma)/(x beta+y gamma+z alpha) is

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 and gamma the roots of the equation x^(3) + 3x^(2) - 4x - 2 = 0. then find the values of the following expressions: (i) alpha ^(2) + beta^(2) + gamma^(2) (ii) alpha ^(3) + beta^(3) + gamma^(3) (iii) (1)/(alpha)+(1)/(beta)+(1)/(gamma)

A line makes angles alpha, beta, gamma with X, Y, Z axes respectively. If alpha=beta and gamma=45^(@) , then alpha=

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

If alpha,beta,gamma are the cube roots of p, then for any x,y,z(x alpha+y beta+z gamma)/(x beta+y gamma+z alpha)=

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