Question

If `-(1)/(2)` is a solution of the equation 3x² + 2kx – 3 = 0, find the value of k.

Answer 1

 x =  `-(1)/(2)` is a solution of the
3x² + 2kx – 3 = 0,
Substituting the value of x in the given equation

`3((-1)/2)^2 + 2k((-1)/2) - 3` = 0

`3 xx (1)/(4) - k - 3` = 0

`(3)/(4) - k - 3` = 0

⇒ k = `(3)/(4) - 3`

= `-(9)/(4)`

Hence k = `-(9)/(4)`.