Let `alpha` and `beta` be the roots of the equation `x^(2)+x+1=0`. Then for `y ne 0` in R, `|(y+1,alpha,beta),(alpha,y+beta,1),(beta,1,y+alpha)|` is equal to :

Let alpha and beta be the roots of the equation x^(2) + x + 1 = 0 . Then, for y ne 0 in R. [{:(y+1, alpha,beta), (alpha, y+beta, 1),(beta, 1, y+alpha):}] is

If alpha and beta are the roots of the equation 1+x+x^(2)=0 , then the matrix product [{:(1, beta),(alpha,alpha):}][{:(alpha, beta),(1,beta):}] is equal to :

If alpha and beta be the roots of the equation x^2-1=0 , then show that. alpha+beta=(1)/(alpha)+(1)/(beta)

If alpha and beta are roots of the equation x^(2)+px+2=0 and (1)/(alpha)and (1)/(beta) are the roots of the equation 2x^(2)+2qx+1=0 , then (alpha-(1)/(alpha))(beta-(1)/(beta))(alpha+(1)/(beta))(beta+(1)/(alpha)) is equal to :

if alpha and beta are the roots of the equation ax^(2)+bx+c=0 then the equation whose roots are (1)/(alpha+beta),(1)/(alpha)+(1)/(beta) is equal to

If alpha and beta are the roots of the equation x ^(2) + 3x - 4 = 0 , then (1)/(alpha ) + (1)/(beta) is equal to

If alpha and beta be the roots of the equation x^(2)+3x+1=0 then the value of ((alpha)/(1+beta))^(2)+((beta)/(alpha+1))^(2)

Let alpha and beta be the roots of the equation x^(2)+ax+1=0, a ne0 . Then the equation whose roots are -(alpha+(1)/(beta)) and -((1)/(alpha)+beta) is