-3x2 +6x +9 = 0

ax2 bx c = 0

a = -3

b = 6

c = 9

Δ = b2-4ac

Δ = 6² - (4 * -3 * 9)

Δ = 36 - (4*-27)

Δ = 36 - (-108)

Δ = 144      Δ > 0

-3x2+6x+9=0

x = -b ∓ √Δ 2a

x' = -6 - √144 2*-3 = -6 - 12.0 -6 = -18.0 -6 = 3.0

x" = -6 + √144 2*-3 = -6 + 12.0 -6 = 6.0 -6 = -1.0

x' = 27.0

x" = -9.0

S = {x ∈ R / x' = 27.0, x" = -9.0 }