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Solve the equation 6x^6-25x^5+31x^4-31x^...

Solve the equation `6x^6-25x^5+31x^4-31x^2+25x-6=0`

Text Solution

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The correct Answer is:
`therefore` The roots of the given equation are `pm1, 1/2,2,(5 pmsqrt(11i))/(6)`
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Knowledge Check

  • The sum of all the rational roots of the equation 6x^(6) - 25x^(5) + 31x^(4) - 31x^(2) + 25x - 6 = 0 is

    A
    3
    B
    3.5
    C
    `(25)/(6)`
    D
    2.5

  • The equation x^6 - 2x ^5 + 3x^4 -3x ^2 +2x -1=0 is R.E . Of the

    A
    `1^(st)` type and x=1 is a solution
    B
    `1^(st)` type and x=-1 is a solution
    C
    `2^(nd)` type and ` x^2=1` is a solution
    D
    `1^(st)` type and `x^(2)=-1` is a solution

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