Question

if sum of the squares of zeros of the quadratic polynomial f(x) = xsquare- 8x + k is 40, find
the value of k.
​

Answer 1

Answer:

Let a,b be the zeros of the polynomial.Then,

a+b=8 and ab=k

Given,

a

2

+b

2

=40

(a+b)

2

−2ab=40

64−2k=40

2k=24

k=12