Question

please help me out of this fast

i need it i am doing my homework

if sum of squares of zeroes of quadratic polynomial f(x) = x^2 - 8x + k is 40, then find value of k

please answer my earlier question also

Answer 1

Answer:

k=12

Step-by-step explanation:

f(x)=x²- 8x + k

let the zeros are p and q

then we know p+q=8 and pq=k

given that

p²+q² = 40

p²+q² +2pq= 40+2pq

(P+q)²=40+2k

8²=40+2k

2k=64-40=24

k=24/2=12

Answer 2

f(x)=x²- 8x + k

let the zeros are p and q

then we know p+q=8 and pq=k

given that

p²+q² = 40

p²+q² +2pq= 40+2pq

(P+q)²=40+2k

8²=40+2k

2k=64-40=24

k=24/2=12