Question

if alpha and beta are zeros of the polynomial f x is equal to x square - 5 x + K such that Alpha minus beta is equal to 1 find the value of k​

Answer 1

Answer:

Step-by-step explanation:

f(x)=x²-5x+k

α and β are zeroes of f(x).

α+β=-b/a

α+β=-(-5/1)

α+β=5. ........(i)

αβ=c/a

αβ=Κ .............(ii)

α–β=1. (squaring on both sides)

(α–β)²=1

α²+β²–2 α β=1

(α+β)²–4 α β=1

Put the values of (i)and (ii)

25–4K=1

-4K=-24

K=6

Answer 2

Refer this attachment

Is this crt