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For what value of k, -2 is a root of the...

For what value of k, -2 is a root of the equation `3x^(2)+4x+2k=0`?

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Knowledge Check

  • What is the value of k, if (1)/(2) is a root of the equation x^(2) + kx- ( 5)/(4) = 0 ?

    A
    `(1)/(2)`
    B
    `-2`
    C
    2
    D
    `(1)/(4)`

  • The set of values of k for which roots of the equation x^(2) - 3x + k = 0 lie in the interval (0, 2), is

    A
    `(2, oo)`
    B
    `(0, oo)`
    C
    `(-oo, 9//4)`
    D
    `(2, 9//4)`

  • If -2 is a root of the equation 3x^(2)+7x+p=0, find the value of k so that the roots of the equation x^(2)+k(4x+k-1)+p=0 are equal.

    A
    `-2, 3/2`
    B
    `-1, 2/3`
    C
    `-5, 4/5`
    D
    `-3, 7/5`

    • Similar Questions

    Explore conceptually related problems

    For what value of k , -2 is a zero of the polynomial 3x^(2)+4x+2k ?

    For what values of k ,the roots of the equation x^(2)+4x+k=0 are real?

    Find the value of k for which the roots of the equation 3x^(2) - 10x + k = 0 are reciprocal of each other.

    For what values of k are the roots of the quadratic equation 3x^(2)+2kx+27=0 real and equal?

    Find the value of K for which x=2 is a root of the equation 3x^(2)-2Kx+5=0 .

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