If α and β are zeroes of x2-4x+1 then 1/α + 1/β -αβ is . . .

Question : If α and β are zeroes of x²-4x+1 then 1/α + 1/β -αβ is 

a) 3
b) 5
c) -3
d) -5

Doubt by Zoha

Solution : 

x²-4x+1

a=1
b=-4
c=1
α+β = -b/a
α+β = -(-4)/1
α+β = 4

αβ = c/a
αβ = 1/1
αβ = 1

So
1/α+1/β-αβ
= (α+β)/αβ-αβ is
= (4/1)-1
= 4-1
= 3
Hence, a) 3, is the correct option.