-9x2 -12x +12 = 0

ax2 bx c = 0

a = -9

b = -12

c = 12

Δ = b2-4ac

Δ = -12² - (4 * -9 * 12)

Δ = 144 - (4*-108)

Δ = 144 - (-432)

Δ = 576      Δ > 0

-9x2-12x+12=0

x = -b ∓ √Δ 2a

x' = 12 - √576 2*-9 = 12 - 24.0 -18 = -12.0 -18 = 0.666666666667

x" = 12 + √576 2*-9 = 12 + 24.0 -18 = 36.0 -18 = -2.0

x' = 54.0

x" = -162.0

S = {x ∈ R / x' = 54.0, x" = -162.0 }