If α and β are the zeros of the polynomial f(x)=x2−5x+k such that α−β=1, find the value of k.

If α and β are the zeros of the polynomial f(x)=x2−5x+k such that

1.	If α and β are the zeros of the polynomial f(x)=x2−5x+k such that α−β=1, find the value of k.
Answer» If $α$ and $β$ are the zeros of the polynomial $f (x) = x^{2} - 5 x + k$ such that $α - β = 1$ , find the value of k.