Question

if alpha and beta are the zeroes of the polynomial p(x)=x square -8x+k such that alpha square +beta square =40 .find the value of k​

Answer 1

Answer:

here is ur answer..........................................

Answer 2

Answer:

Step-by-step explanation:

P(x)= x^2-8x+k

Here value of alpha is 2 and beta is 6 or vice versa, because only these two satisfy the equation - alpha^2+beta^2=40

Now. Put x=2,and x=4

x^2-8x+k=0

(2)^2-8×2+k=0

Here (2)^2 means 2×2=4

4-16+k=0

-12+k=0

K=12

Put x=6

x^2-8x+k=0

(6)^2-8×6+k=0

Here (6)^2 means 6×6=36

36-48+k=0

-12+k=0

Which implies k=12

Hence the value of k=12 for p(x)=x^2-8x+k