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The vlaue of k is …………if x =3 is one ro...

The vlaue of k is `…………if x =3 ` is one rot of `x ^(2) - 2kx -6=0.`

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x^(2)-2kx+7k-12=0

Find the value of k, if x+3 is a factor of 3x^(2)+kx+6.

Knowledge Check

  • What is the value of k in the quadratic is one of polynomial 3x^(2) + 2kx -3 , if x = (1)/(2) the zeroes of it?

    A
    `(1)/(5)`
    B
    `(3)/(2)`
    C
    `-(1)/(4)`
    D
    `-(9)/(4)`

  • The set of vlaue of k (k in R) for which the equation x ^(2) -4 |x|+3 -|k-1|=0 will have exactly four real roots, is:

    A
    `(-2,4)`
    B
    `(-4,4)`
    C
    `(-4,2)`
    D
    `(-1,0)`

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    Find the value of k for which x=2 is a solution of the equation kx^(2)+2x-3=0

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