-3x2 -12x -9 = 0

ax2 bx c = 0

a = -3

b = -12

c = -9

Δ = b2-4ac

Δ = -12² - (4 * -3 * -9)

Δ = 144 - (4*27)

Δ = 144 - (108)

Δ = 36      Δ > 0

-3x2-12x-9=0

x = -b ∓ √Δ 2a

x' = 12 - √36 2*-3 = 12 - 6.0 -6 = 6.0 -6 = -1.0

x" = 12 + √36 2*-3 = 12 + 6.0 -6 = 18.0 -6 = -3.0

x' = -9.0

x" = -27.0

S = {x ∈ R / x' = -9.0, x" = -27.0 }