Question

if alpha and beta are the zeros of polynomial P of x 7 x square - 8 x + K such that Alpha minus beta is equal to 2 then find the value of k​

Answer 1

Answer:

K = 15

Step-by-step explanation:

see the attachment

Answer 2

Answer:

${x}^{2} - 8x + k \\ \\ \alpha - \beta = 2 \\ \\ \alpha \beta = k \\ \\ \alpha + \beta = 8 \\ \\ \alpha - \beta = 2 \\ 2 \alpha = 10 \\ \alpha = 5 \\ \\ \beta = 3 \\ \\ k = 5 \times 3 = 15$