-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 = -18.0 -6 = 3.0

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

x' = 27.0

x" = 9.0

S = {x ∈ R / x' = 27.0, x" = 9.0 }