|[x=3,x=4,x-alpha],[x-2,x-3,x-1],[x-1,x-2,x-gamma]|=0," where "alpha,beta,gamma" are in "A.P

Show that [[x-3,x-4,x-alpha],[x-2,x-3,x-beta],[x-1,x-2,x-gamma]]=0 where alpha,beta,gamma are in AP

Show that |{:(x-3,x-4,x-alpha),(x-2,x-3,x-beta),(x-1,x-2,x-gamma):}|=0,where" "alpha,beta,gamma are in A.P

|[x-3, x-4, x-alpha], [x-2, x-3, x-beta], [x-1, x-2, x-gamma]| =0,"where" alpha, beta, gamma "are in AP"

If alpha,beta,gamma are in A.P. then show that , |[x-3,x-4,x-alpha],[x-2,x-3 ,x-beta],[x-1,x-2,x-gamma]|=0

If alpha,beta,gamma are the zeroes of 3x^3-5x^2-11x-3 , then alpha+beta+gamma =

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

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

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

If P(x)=x^(6)-x^(5)-x^(3)-x^(2)-x & alpha, beta, gamma, delta are the roots of the equation Q(x)=x^(4)-x^(3)-x^(2)-1=0 Then P(alpha)+P(beta)+P(gamma)+P(delta)=