-6x2 -3x +18 = 0

ax2 bx c = 0

a = -6

b = -3

c = 18

Δ = b2-4ac

Δ = -3² - (4 * -6 * 18)

Δ = 9 - (4*-108)

Δ = 9 - (-432)

Δ = 441      Δ > 0

-6x2-3x+18=0

x = -b ∓ √Δ 2a

x' = 3 - √441 2*-6 = 3 - 21.0 -12 = -18.0 -12 = 1.5

x" = 3 + √441 2*-6 = 3 + 21.0 -12 = 24.0 -12 = -2.0

x' = 54.0

x" = -72.0

S = {x ∈ R / x' = 54.0, x" = -72.0 }