-12x2 +3x +9 = 0

ax2 bx c = 0

a = -12

b = 3

c = 9

Δ = b2-4ac

Δ = 3² - (4 * -12 * 9)

Δ = 9 - (4*-108)

Δ = 9 - (-432)

Δ = 441      Δ > 0

-12x2+3x+9=0

x = -b ∓ √Δ 2a

x' = -3 - √441 2*-12 = -3 - 21.0 -24 = -24.0 -24 = 1.0

x" = -3 + √441 2*-12 = -3 + 21.0 -24 = 18.0 -24 = -0.75

x' = 144.0

x" = -108.0

S = {x ∈ R / x' = 144.0, x" = -108.0 }