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2x^(4)+x^(3)-11x^(2)+x+2=0...

`2x^(4)+x^(3)-11x^(2)+x+2=0`

Text Solution

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The correct Answer is:
`therefore" The roots are "(1)/(2), 2, (-3 pm sqrt(5))/(2)`
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Knowledge Check

  • The multiple roots of x^(4) - 2x^(3) - 11x^(2) + 12x + 36 = 0 are

    A
    1, 2
    B
    `-1,` 2
    C
    2, 3
    D
    `-2, 3`

  • The roots of 2x^(5)+x^(4)-12x^(3)-12x^(2)+x+2=0 are

    A
    `-1,-2,-1/2,3+-sqrt(5)/2`
    B
    `2+-sqrt(3),3+-sqrt(2)`
    C
    `2,1/2,3,1/3,1`
    D
    `1,2,1/2,5+-sqrt(11)i/6`

  • Match the following. Roots of the equation " " Equation i. 2,3 , 6 " "x^(3) - 3x^(2) - x + 3 = 0 ii. -2, 3, pm sqrt(5)" "x^(3) - 11x^(2) + 36x - 36 = 0 iii. 1, 3 pm 2i" " x^(3) - 4x^(2) - 8x + 8 = 0 iv 1,-1,3 " "x^(3) - 7x^(2) + 19x - 13 = 0

    A
    c, d, a, b
    B
    b,c,d,a
    C
    c, a , b, d
    D
    c, b, a, d

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