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If 1,1, alpha are the roots of x ^(3) -6...

If `1,1, alpha` are the roots of `x ^(3) -6x ^(2) + 9x- 4 =0` then find `'alpha '.`

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If 1,-2,3 are the roots of x^3 -6x^2 +9 x-4=0 then find ' alpha'

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Knowledge Check

  • If -1, 2 , alpha are roots of 2x^(3) + x^(2) - 7x - 6 = 0 then alpha =

    A
    4
    B
    `-3//2`
    C
    `7//4`
    D
    `-5`

  • If alpha,beta, gamma are the roots of 4x^(3) - 6x^(2) + 7x + 3 = 0 then alpha beta + alpha beta + alpha gamma =

    A
    4
    B
    `-3//2`
    C
    `7//4`
    D
    1

  • If alpha, beta ,gamma are the roots of 2x^(3) - 5x^(2) + 3x - 1 = 0 then (1)/(alpha beta ) + (1)/(beta gamma) + (1)/(gamma alpha) =

    A
    5
    B
    `-3`
    C
    `-7`
    D
    0

    • Similar Questions

    Explore conceptually related problems

    if 1,1, alpha are the roots of x^3-xx^2+9x-4=0 ,then find alpha .

    If -1,2 and alpha are the roots of 2x^3 +x^2-7x-6=0 , then find alpha

    If alpha, beta, gamma are the roots of x^(3) + x^(2) + x + 1 =0 then alpha^(4) + beta^(4) + gamma^(4) =

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

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

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