Question

if alpha and beta are the zeros of quadratic polynomial 4x square - 2x +(k-1) and alpha = 1/beta find the value of k ​

Answer 1

Step-by-step explanation:

$4 {x}^{2} - 2x + (k - 1) = 0 \\ \alpha = \frac{1}{ \beta } \\ = > \alpha \beta \: = 1 \\ \\ = > \alpha \beta = \frac{c}{a} \\ = > \alpha \beta = \frac{k - 1}{4} \\ = > 1 = \frac{k - 1}{4} \\ = > 4 = k - 1 \\ = > k = 4 + 1 \\ = > k = 5$