cubic equation

x3 + ax2 + bx + c = 0 

x( α+β+γ )x2 - αβ+βγ+αγ )x - αβγ = 0

α+β+γ = a

αβ+βγ+αγ = b

αβγ = c

 

x3 - 6x2 - 11x - 6 = 0

α+β+γ = 6

αβ+βγ+αγ = 11

αβγ = 6

α = 1,β = 2,γ = 3

( x-1)(x-2)(x-3) = 0

   

           T.theodor                    2022.7.21