Question

find the value of k​

Answer 1

Hi Mate

We know,

$\alpha + \beta = \frac{ - b}{a} \\ \alpha \beta = \frac{c}{a}$

As, in the question,

$\alpha + \beta = \frac{ \alpha \beta }{2} \\ \frac{ - b}{a} = \frac{c}{2a}$

Multiplying Both Sides by a,

$- b = \frac{c}{2} \\ - 2b = c$

We know,

b = - ( k + 6 ) = - k - 6

c = 2 ( 2k - 1 ) = 4k - 2

Putting the values of b and c in this Equation,

$- 2( - k - 6) = 4k - 2 \\ 2k + 12 = 4k - 2 \\ 12 + 2 = 4k - 2k \\ 14 = 2k \\ k = 7$

❤Hope It Helps❤

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