-6x2 +3x +3 = 0

ax2 bx c = 0

a = -6

b = 3

c = 3

Δ = b2-4ac

Δ = 3² - (4 * -6 * 3)

Δ = 9 - (4*-18)

Δ = 9 - (-72)

Δ = 81      Δ > 0

-6x2+3x+3=0

x = -b ∓ √Δ 2a

x' = -3 - √81 2*-6 = -3 - 9.0 -12 = -12.0 -12 = 1.0

x" = -3 + √81 2*-6 = -3 + 9.0 -12 = 6.0 -12 = -0.5

x' = 36.0

x" = -18.0

S = {x ∈ R / x' = 36.0, x" = -18.0 }