Question

if alpha and beta are two zeros of polynomial f(Y) = y2 -8y +a and alpha2 +beta2 =40 find the value of a .

Answer 1

Answer:

Answer 12

Step-by-step explanation:

Alpha and beta are the zeroes of the polynomial of y^2 - 8y + a.

So, alpha + beta = 8

Thus, alpha^2 - 8alpha + a = 0 ------ 1

Beta^2 - 8beta+ a = 0----------2

Adding equation 1 and 2 , we get,

Alpha^ 2 - 8 alpha + a + beta^2 - 8beta + a =

alpha^2 + beta^ 2 - 8( alpha + beta) + 2a = 0

40 - 8(8) + 2a=0

40- 64= -2a

-24=-2a

a= -24/-2

a= 12

Answer 2

Answer:

Answer is as attachment