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Find all the roots of the equation x...

Find all the roots of the equation
` x^(11) - x^(7) + x^(4) - 1 = 0`

Text Solution

Verified by Experts

The correct Answer is:
`(13pi)/( 7)`
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Knowledge Check

  • The number of complex roots of the equation x^(11) - x^(7) + x^(4) - 1 = 0 whose arguments lie in the first quadrant is

    A
    2
    B
    3
    C
    7
    D
    9

  • The number of complex roots of the equation x^(11) - x^(7) + x^(4) - 1 =0 whose arguments lie in the first quadrants is

    A
    2
    B
    3
    C
    7
    D
    9

  • The equation whose roots are the negatives of the roots of the equation x^(7) + 3x^(5) + x^(3) - x^(2)+ 7x + 2 = 0 is

    A
    `x^(7) + 3x^(5) + x^(3) + x^(2) - 7x + 2 = 0`
    B
    `x^(7) + 3x^(5) + x^(3) + x^(2) + 7x - 2 = 0 `
    C
    `x^(7) + 3x^(5) + x^(3) - x^(2) - 7x - 2 = 0 `
    D
    `x^(7) + 3x^(5) + x^(3) - x^(2) + 7x - 2 = 0 `

    • Similar Questions

    Explore conceptually related problems

    The sum of the fifth powers of the roots of the equation x^(4) - 7x^(2) + 4x - 3 =0 is

    The sum of the fourth powers of the roots of the equation x^(4) - x^(3) - 7x^(2) + x + 6 = 0 is

    One of the complex roots of the equation x^(11)-x^(6)-x^(5)+1 =0 is

    The roots of the equation 5x^(2)+10x-7=0 are

    The sum of the roots of the equation 3x^(2) - 7x + 11 = 0

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