α & β are roots of f(x) = ax^2+bx+c=0
so α+ λ and β+ λ are root of f(x - λ)
the reason is x = α+ λ => x - λ = α and x = β + λ => x - λ = β
f(x) = ax^2+bx+c=0
=> f(x - λ) -= a (x - λ)^2 + b(x - λ) + c = 0
or ax^2 + x(b- 2a λ) + (c- bλ+ aλ^2) = 0
No comments:
Post a Comment