Question

TEOREMA RASIONAL NOL (SUKU BANYAK)
Jika akar-akar persamaan adalah α, β, γ, hitunglah:
a.
b.
c.
d.

Answer 1

α +β+ γ = -b/a = - 3/2
α β +γ α +  β γ  = c/a = 2
α β γ  = -d/a = -1
..
1) 1/α +1/β +1/γ  = (β γ+ α β+ γ α)/(α β γ )= 2/(-1) = -2
2)1/α β +1/ αγ+ 1/ β γ = (α +β +γ)/( α β γ) = (-3/2)/(-1)= 3/2
3) α² β ²γ ²   = (α β γ)² = (-1)²2= 1
4) (α+ β+ γ)(α β +γ α+ β γ)= (-3/2) / (2) = - 3/4