Question

if alpha and one by Alpha zeros of the polynomial 4 x square - 2 X + k minus 4 find the value of k .​

Answer 1

Step-by-step explanation:

Given zeros

x and 1/x

therefore

x multiply 1/x = c/a

that is

x X 1/x = k-4

so

1=k-4

1+4=k

k=5

Answer 2

Step-by-step explanation:

${4x}^{2} - 2x + k - 4$

$\alpha + \frac{1}{ \alpha } = \frac{ - b}{a} = - ( \frac{ - 2}{4} )$

$\frac{ { \alpha }^{2} + 1}{ \alpha } = \frac{1}{2}$

$\alpha ( \frac{1}{ \alpha } ) = \frac{c}{a} = \frac{k - 4}{4}$

$1 = \frac{k - 4}{4}$

$4 + 4 = k$

$k = 8$