Question

If the sum of the squares of zeroes of the quadratic polynomial f(x) = x2-8x+k

is 40,

find the value of k.

1​

Answer 1

Answer:

Step-by-step explanation:

do the square both sides of (1)

(α+β)²=(-1/6)²

α²+β²+2αβ=1/36

25/36+2αβ=1/36[from (3)]

2αβ=1/36-25/36

2αβ=(1-25)/36

2αβ=-24/36

αβ= -24/2*36

αβ=-1/3---(4)

but (2) =(4)

k/6 = -1/3

k= (-1/3) *6

k=-2