Question

if alpha and beta are zero of quadratic polynomial x²+5x-k and alpha -beta =1 find k

Answer 1

we know,
α + β = 5...... (1)
subtracting.... (1) from α - β = 1
we obtain
α = 3 & β = 2
we also know
αβ = k
3(2) = k
6 = k answer....