Question

If alpha and beta are zeroes of polynomial x^2-5x+k and alpha - beta =1, find value Of k

Answer 1

alpha+ beta=
$- 5 \div 1$
a+b=5
a-b=1
2a=4
a=2
a+b=5
2+b=5
b=5-2
b=3

Answer 2

a+b=5
a-b=1
----------
2a=6
a=3
3+b=5
b=5-3
b=2
ab=k
3*2=k
6=k