If `|[1,1,1],[^mC_1,^(m+3)C_1,^(m+6)C_1],[^mC_2,^(m+3)C_2,^(m+6)C_2]|=2^alpha3^beta5^gamma` then `alpha+beta+gamma` is equal to

If Delta=|(1,1,1),(""^(m)C_(1),""^(m+3)C_(1),""^(m+6)C_(1)),(""^(m)C_(2),""^(m+3)C_(2),""^(m+6)C_(2))|=2^(alpha)3^(beta),5^(gamma) , then alpha+beta+gamma is equal

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+x^2-5x-1=0 then alpha+beta+gamma is equal to

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

The value of the determinant : |(1,1,1),(""^mC_1,""^(m+1)C_1,""^(m+2)C_1),(""^mC_2,""^(m+1)C_2,""^(m+2)C_2)| is equal to :

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

|[1,alpha,alpha^3],[1,beta,beta^3],[1,gamma,gamma^3]|=(alpha-beta)(beta-gamma)(gamma-alpha)(alpha+ beta+gamma)