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Question
In each of the following determine the; value of k for which the given value is a solution of the equation:
3x2 + 2kx - 3 = 0; x = `-(1)/(2)`
Solution
Since, x = `-(1)/(2)` is a root of the given equation 3x2 + 2kx - 3 = 0
Therefore,
`3(-1/2)^2 + 2k (-1/2)-3` = 0
⇒ `3 xx (1)/(4) - k - 3` = 0
⇒ k = `(3)/(4) - 3`
= `-(9)/(4)`
⇒ k = `-(9)/(4)`.
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