Question

if x^2+5x+6+k=0 then the value of k for which root of the given equation differ by 1

Answer 1

α + β = - 5

α - β = 1

2 α = -4

α = -2 and β = -3

αβ = (6+k)

6 = 6 + k

So, k = 0

Answer 2

α + β = - 5

α - β = 1

2 α = -4

α = -2 and β = -3

αβ = (6+k)

6 = 6 + k

So, k = 0