Question

If the sum of the squares of the zeroes of the quadratic polynomial x2−8x + k is 34, then the value of k is ​

Answer 1

Step-by-step explanation:

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

Hope it helps you don't forget to thanks me mark me brilliant and follow me

Answer 2

Answer:

15

Step-by-step explanation:

a+b=8

ab=k

given:

a²+b²=34

(a+b)²-2ab=34

(8)²-2k=34

64-34=2k

30/2=k

15=k