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Write each of the following expressions ...

Write each of the following expressions in terms of `alpha+beta and alphabeta`.
`(alpha)/(3beta)+(beta)/(3beta)`

Answer

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Knowledge Check

  • alpha^(3)+beta^(3) =……………

    A
    `(alpha+beta)^(3)-3alphabeta(alpha+beta)`
    B
    `(alpha-beta)^(3)+3alphabeta(alpha-beta)`
    C
    `(alpha+beta)^(3)-3alphabeta(alpha-beta)`
    D
    `(alpha-beta)^(3)-3alphabeta(alpha-beta)`

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    alpha beta x ^(alpha-1) e^(-beta x ^(alpha))

    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)

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