If `alpha`, `beta`, `gamma` are such that `alpha+beta+gamma=2`, `alpha^2+beta^2+gamma^2=6`, `alpha^3+beta^3+gamma^3=8`, then `alpha^4+beta^4+gamma^4`

If alpha,beta,gamma are such that alpha+beta+gamma =4, alpha^2+beta^2+gamma^2 =6, alpha^3+beta^3+gamma^3 =8, then the value of [alpha^4+beta^4+gamma^4] must be equal to (where[.] denotes the greatest integer function)

If alpha,beta,gamma are such that alpha+beta+gamma=2,""alpha^2+beta^2+gamma^2=6,""alpha^3+beta^3+gamma^3=8,t h e n""alpha^4+beta^4+gamma^4 is a. 18 b. 10 c. 15 d. 36

If alpha,beta,gamma are such that alpha+beta+gamma=2,""alpha^2+beta^2+gamma^2=6,""alpha^3+beta^3+gamma^3=8,t h e n""alpha^4+beta^4+gamma^4 is a. 18 b. 10 c. 15 d. 36

If alpha,beta,gamma are such that alpha+beta+gamma=2,""alpha^2+beta^2+gamma^2=6,""alpha^3+beta^3+gamma^3=8,t h e n""alpha^4+beta^4+gamma^4 is a. 18 b. 10 c. 15 d. 36

If alpha,beta,gamma are such that alpha+beta+gamma=2,alpha^(2)+beta^(2)+gamma^(2)=6,alpha^(3)+beta^(3)+gamma^(3)=8, then alpha^(4)+beta^(4)+ is a.18b.10c*15d.36

If alpha+beta+gamma=6,alpha^(2)+beta^(2)+gamma^(2)=14 and alpha^(3)+beta^(3)+gamma^(3)=36, then alpha^(4)+beta^(4)+gamma^(4)=

Prove that |[[alpha,beta,gamma],[alpha^2,beta^2,gamma^2],[alpha^3,beta^3,gamma^3]]|= alpha beta gamma (alpha-beta)(beta-gamma)(gamma-alpha)