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Two non-integer roots of ((3x -1)/( 2x...

Two non-integer roots of
`((3x -1)/( 2x+3))^(4) - 5 ((3x - 1)/(2x + 3))^(2) + 4 = 0" " ` (1) are

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Simplify (x + 4)/( x^(2) - 1) + (x - 1)/(x^(2) - 3x - 4) (x + 1)/( x^(2) - 5 x + 4)

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Knowledge Check

  • Two non-integer roots of ((3x-1)/(2x+3))^4-5((3x-1)/(2x+3))^2+4=0 are

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

  • The number of roots of 81 ((2x - 5)/( 3x +1))^(4) - 45 ((2x - 5)/(3x + 1))^(2) + 4 = 0 , x ne 1//3 is

    A
    1
    B
    2
    C
    3
    D
    4

  • Two non-integer roots of the equation (x^(2) + 3x)^(2) - (x^(2) + 3x) - 6 = 0 " " (1) are

    A
    `(1)/(2) (-3 + sqrt(11)), (1)/(2) (-3-sqrt(11))`
    B
    `(1)/(2)(-3 + sqrt(7)), (1)/(2) (-3 - sqrt(7))`
    C
    `(1)/(2) (-3+ sqrt(21)), (1)/(2) (-3-sqrt(21))`
    D
    none of these

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    (5x)/(3)-(x-2)/(3)=(9)/(4)-(1)/(2)(x-(2x-1)/(3))

    (b) Find the square root of 4x^(4) - 4x^(3) + 5x^(2) -2x +1

    A root of the equation 4x^(3)+2x^(2)-3x-1=0 is

    If the roots of 3x^(3)-22x^(2)+48x-32=0 are in H.P then the roots are (1)/(4), (1)/(2), (3)/(4) 4, 2 ,(4)/(3) (1)/(3) ,(1)/(2) ,(2)/(3) 3 ,2 ,(3)/(2)

    The non -integral roots of x^(4) - 3x^(3) - 2x^(2) + 3x + 1=0" " (1) are

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