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Question
Choose the correct answer from the given four options :
If `(1)/(2)` is a root of the quadratic equation 4x2 – 4kx + k + 5 = 0, then the value of k is
Options
– 6
– 3
3
6
Solution
`(1)/(2)` is a root of the equation
4x2 – 4kx + k + 5 = 0
Substituting the value of x = `(1)/(2)` in the equation
`4(1/2)^2 - 4 xx k xx (1)/(2) + k + 5` = 0
1 – 2k + k + 5 = 0
⇒ – k + 6 = 0
k = 6.
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