Question

If sum of the squares of the zeros
of the quadratió perymonial
x² - 8 x + k is 40. Find
К.​

Answer 1

Step-by-step explanation:

sum of roots of ax^2+bx+c is -b/a and

product of roots is c/a

let the roots of given polynomial be a,b

a+b = -(-8)/1=8

ab = k/1 = k

given a²+b² = 40

(a+b)² = 8²

a²+b²+2ab =64

40+2k =64

2k =24

k =12