Question

if alpha and beta are the zeros of the polynomial X square + 5 x + K and Alpha square + beta square is equal to 11 find k

Answer 1

Answer:

i found 'k'

Step-by-step explanation:

It is the last letter in the question

Answer 2

Answer:

k = 7

Step-by-step explanation:

given by eq.

${x}^{2} + 5x + k = 0$

we find us.

${ \alpha }^{2} + { \beta }^{2} = 11...........(1) \\ here \: \alpha + \beta = \frac{ - b}{a} = 5 \\ \: \alpha \beta = \frac{c}{a} = k \\ \\ by \: eq(1) \\ { \alpha }^{2} + { \beta }^{2} = 11 \\ {( \alpha + \beta )}^{2} - 2 \alpha \beta = 11 \\ {5}^{2} - 2k = 11 \\ - 2k = 11 - 25 \\ 2k = 14 \\ k = 7 \: ans$

i hope its help full.