The roots are 23\;\frac{2}{3}32 and - 1
Using x2^22 - (α + β)x + αβ = 0
α + β = 23\;\frac{2}{3}32 + (-1) = 23\;\frac{2}{3}32 - 1 = −13\;\frac{-1}{3}3−1
αβ = 23\;\frac{2}{3}32 x (-1) = −23\;\frac{-2}{3}3−2
x2^22 - ( −13\;\frac{-1}{3}3−1 )x + ( −23\;\frac{-2}{3}3−2) = 0
multiply through by 3
3x2^22 + x - 2 = 0