Question

If α, β are the zeroes of the quadratic polynomial x

2 − 8x + k such that

α − β = 2, then find the value of ‘k’.

Answer 1

Answer:

Step-by-step explanation:

If α and β are the zeros of the polynomial x2−8x+k such that α2+β2=40, then the value of k is · Answer · p(x)=x2−8x+k a=1,b=−8,c=k α+β=a−b​=8, αβ=ac​=k, α ...

Answer 2

Answer:

p(x)=x2 −8x+k

a=1,b=−8,c=k

α+β=−b=8, αβ= c

a. a. =k, α2+β2=40

α2 +β 2 =(α+β)2−2αβ

40=82−2k

2k=24

k=12